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Finding the Fourth Proportional to 12,526.17, 17,288.02 and 7,148.58

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Solution

The fourth proportional to 12,526.17, 17,288.02 and 7,148.58 is: 9,866.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,526.17 : 17,288.02 = 7,148.58 : x
  2. Step 2: Convert to fraction form
    12,526.17/17,288.02 = 7,148.58/x
  3. Step 3: Cross multiply
    12,526.17x = 17,288.02 × 7,148.58
  4. Step 4: Simplify right side
    12,526.17x = 123,584,758.27
  5. Step 5: Solve for x
    x = 123,584,758.27/12,526.17
  6. Step 6: Final answer
    x = 9,866.12

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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.