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Finding the Fourth Proportional to 12,657.76, 17,466.40 and 7,353.12

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Solution

The fourth proportional to 12,657.76, 17,466.40 and 7,353.12 is: 10,146.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,657.76 : 17,466.40 = 7,353.12 : x
  2. Step 2: Convert to fraction form
    12,657.76/17,466.40 = 7,353.12/x
  3. Step 3: Cross multiply
    12,657.76x = 17,466.40 × 7,353.12
  4. Step 4: Simplify right side
    12,657.76x = 128,432,535.17
  5. Step 5: Solve for x
    x = 128,432,535.17/12,657.76
  6. Step 6: Final answer
    x = 10,146.55

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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.