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Finding the Fourth Proportional to 12,952.17, 19,415.18 and 5,049.74

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Solution

The fourth proportional to 12,952.17, 19,415.18 and 5,049.74 is: 7,569.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,952.17 : 19,415.18 = 5,049.74 : x
  2. Step 2: Convert to fraction form
    12,952.17/19,415.18 = 5,049.74/x
  3. Step 3: Cross multiply
    12,952.17x = 19,415.18 × 5,049.74
  4. Step 4: Simplify right side
    12,952.17x = 98,041,672.22
  5. Step 5: Solve for x
    x = 98,041,672.22/12,952.17
  6. Step 6: Final answer
    x = 7,569.52

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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.