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Finding the Fourth Proportional to 22,547.86, 31,128.56 and 13,597.63

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Solution

The fourth proportional to 22,547.86, 31,128.56 and 13,597.63 is: 18,772.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,547.86 : 31,128.56 = 13,597.63 : x
  2. Step 2: Convert to fraction form
    22,547.86/31,128.56 = 13,597.63/x
  3. Step 3: Cross multiply
    22,547.86x = 31,128.56 × 13,597.63
  4. Step 4: Simplify right side
    22,547.86x = 423,274,641.31
  5. Step 5: Solve for x
    x = 423,274,641.31/22,547.86
  6. Step 6: Final answer
    x = 18,772.28

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