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Finding the Fourth Proportional to 13,397.49, 18,488.50 and 7,429

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Solution

The fourth proportional to 13,397.49, 18,488.50 and 7,429 is: 10,252.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,397.49 : 18,488.50 = 7,429 : x
  2. Step 2: Convert to fraction form
    13,397.49/18,488.50 = 7,429/x
  3. Step 3: Cross multiply
    13,397.49x = 18,488.50 × 7,429
  4. Step 4: Simplify right side
    13,397.49x = 137,351,066.50
  5. Step 5: Solve for x
    x = 137,351,066.50/13,397.49
  6. Step 6: Final answer
    x = 10,252.00

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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.