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Finding the Fourth Proportional to 16,653.57, 22,981.25 and 9,852.00

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Solution

The fourth proportional to 16,653.57, 22,981.25 and 9,852.00 is: 13,595.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,653.57 : 22,981.25 = 9,852.00 : x
  2. Step 2: Convert to fraction form
    16,653.57/22,981.25 = 9,852.00/x
  3. Step 3: Cross multiply
    16,653.57x = 22,981.25 × 9,852.00
  4. Step 4: Simplify right side
    16,653.57x = 226,411,241.14
  5. Step 5: Solve for x
    x = 226,411,241.14/16,653.57
  6. Step 6: Final answer
    x = 13,595.36

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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.