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Finding the Fourth Proportional to 12,695.32, 17,519.72 and 7,314.78

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Solution

The fourth proportional to 12,695.32, 17,519.72 and 7,314.78 is: 10,094.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,695.32 : 17,519.72 = 7,314.78 : x
  2. Step 2: Convert to fraction form
    12,695.32/17,519.72 = 7,314.78/x
  3. Step 3: Cross multiply
    12,695.32x = 17,519.72 × 7,314.78
  4. Step 4: Simplify right side
    12,695.32x = 128,152,897.46
  5. Step 5: Solve for x
    x = 128,152,897.46/12,695.32
  6. Step 6: Final answer
    x = 10,094.50

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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.