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Finding the Fourth Proportional to 22,963.50, 31,681.50 and 15,010.32

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Solution

The fourth proportional to 22,963.50, 31,681.50 and 15,010.32 is: 20,708.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,963.50 : 31,681.50 = 15,010.32 : x
  2. Step 2: Convert to fraction form
    22,963.50/31,681.50 = 15,010.32/x
  3. Step 3: Cross multiply
    22,963.50x = 31,681.50 × 15,010.32
  4. Step 4: Simplify right side
    22,963.50x = 475,549,453.08
  5. Step 5: Solve for x
    x = 475,549,453.08/22,963.50
  6. Step 6: Final answer
    x = 20,708.93

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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.