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Finding the Fourth Proportional to 13,948.57, 19,248.95 and 7,575.11

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Solution

The fourth proportional to 13,948.57, 19,248.95 and 7,575.11 is: 10,453.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,948.57 : 19,248.95 = 7,575.11 : x
  2. Step 2: Convert to fraction form
    13,948.57/19,248.95 = 7,575.11/x
  3. Step 3: Cross multiply
    13,948.57x = 19,248.95 × 7,575.11
  4. Step 4: Simplify right side
    13,948.57x = 145,812,913.63
  5. Step 5: Solve for x
    x = 145,812,913.63/13,948.57
  6. Step 6: Final answer
    x = 10,453.61

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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.