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Finding the Fourth Proportional to 12,752.64, 19,122.72 and 7,557.12

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Solution

The fourth proportional to 12,752.64, 19,122.72 and 7,557.12 is: 11,331.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,752.64 : 19,122.72 = 7,557.12 : x
  2. Step 2: Convert to fraction form
    12,752.64/19,122.72 = 7,557.12/x
  3. Step 3: Cross multiply
    12,752.64x = 19,122.72 × 7,557.12
  4. Step 4: Simplify right side
    12,752.64x = 144,512,689.77
  5. Step 5: Solve for x
    x = 144,512,689.77/12,752.64
  6. Step 6: Final answer
    x = 11,331.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.