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Finding the Fourth Proportional to 22,973.04, 31,703.12 and 12,903.64

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Solution

The fourth proportional to 22,973.04, 31,703.12 and 12,903.64 is: 17,807.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,973.04 : 31,703.12 = 12,903.64 : x
  2. Step 2: Convert to fraction form
    22,973.04/31,703.12 = 12,903.64/x
  3. Step 3: Cross multiply
    22,973.04x = 31,703.12 × 12,903.64
  4. Step 4: Simplify right side
    22,973.04x = 409,085,647.36
  5. Step 5: Solve for x
    x = 409,085,647.36/22,973.04
  6. Step 6: Final answer
    x = 17,807.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.