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Finding the Fourth Proportional to 22,931.04, 31,651.40 and 13,505.08

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Solution

The fourth proportional to 22,931.04, 31,651.40 and 13,505.08 is: 18,640.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,931.04 : 31,651.40 = 13,505.08 : x
  2. Step 2: Convert to fraction form
    22,931.04/31,651.40 = 13,505.08/x
  3. Step 3: Cross multiply
    22,931.04x = 31,651.40 × 13,505.08
  4. Step 4: Simplify right side
    22,931.04x = 427,454,689.11
  5. Step 5: Solve for x
    x = 427,454,689.11/22,931.04
  6. Step 6: Final answer
    x = 18,640.88

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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.