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Finding the Fourth Proportional to 12,842.60, 17,718.63 and 7,538.72

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Solution

The fourth proportional to 12,842.60, 17,718.63 and 7,538.72 is: 10,400.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.60 : 17,718.63 = 7,538.72 : x
  2. Step 2: Convert to fraction form
    12,842.60/17,718.63 = 7,538.72/x
  3. Step 3: Cross multiply
    12,842.60x = 17,718.63 × 7,538.72
  4. Step 4: Simplify right side
    12,842.60x = 133,575,790.35
  5. Step 5: Solve for x
    x = 133,575,790.35/12,842.60
  6. Step 6: Final answer
    x = 10,400.99

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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.