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Finding the Fourth Proportional to 22,570.74, 31,148.01 and 13,139.10

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Solution

The fourth proportional to 22,570.74, 31,148.01 and 13,139.10 is: 18,132.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,570.74 : 31,148.01 = 13,139.10 : x
  2. Step 2: Convert to fraction form
    22,570.74/31,148.01 = 13,139.10/x
  3. Step 3: Cross multiply
    22,570.74x = 31,148.01 × 13,139.10
  4. Step 4: Simplify right side
    22,570.74x = 409,256,818.19
  5. Step 5: Solve for x
    x = 409,256,818.19/22,570.74
  6. Step 6: Final answer
    x = 18,132.18

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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.