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Finding the Fourth Proportional to 12,909.96, 19,347.93 and 5,114.52

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Solution

The fourth proportional to 12,909.96, 19,347.93 and 5,114.52 is: 7,665.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,909.96 : 19,347.93 = 5,114.52 : x
  2. Step 2: Convert to fraction form
    12,909.96/19,347.93 = 5,114.52/x
  3. Step 3: Cross multiply
    12,909.96x = 19,347.93 × 5,114.52
  4. Step 4: Simplify right side
    12,909.96x = 98,955,374.94
  5. Step 5: Solve for x
    x = 98,955,374.94/12,909.96
  6. Step 6: Final answer
    x = 7,665.04

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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.