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Finding the Fourth Proportional to 22,473.64, 31,006.02 and 13,038.76

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Solution

The fourth proportional to 22,473.64, 31,006.02 and 13,038.76 is: 17,989.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,473.64 : 31,006.02 = 13,038.76 : x
  2. Step 2: Convert to fraction form
    22,473.64/31,006.02 = 13,038.76/x
  3. Step 3: Cross multiply
    22,473.64x = 31,006.02 × 13,038.76
  4. Step 4: Simplify right side
    22,473.64x = 404,280,053.34
  5. Step 5: Solve for x
    x = 404,280,053.34/22,473.64
  6. Step 6: Final answer
    x = 17,989.08

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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.