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Finding the Fourth Proportional to 22,752.80, 31,398.54 and 12,681.62

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Solution

The fourth proportional to 22,752.80, 31,398.54 and 12,681.62 is: 17,500.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,752.80 : 31,398.54 = 12,681.62 : x
  2. Step 2: Convert to fraction form
    22,752.80/31,398.54 = 12,681.62/x
  3. Step 3: Cross multiply
    22,752.80x = 31,398.54 × 12,681.62
  4. Step 4: Simplify right side
    22,752.80x = 398,184,352.83
  5. Step 5: Solve for x
    x = 398,184,352.83/22,752.80
  6. Step 6: Final answer
    x = 17,500.46

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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.