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Finding the Fourth Proportional to 30,407.86, 45,617.46 and 11,687.14

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Solution

The fourth proportional to 30,407.86, 45,617.46 and 11,687.14 is: 17,532.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,407.86 : 45,617.46 = 11,687.14 : x
  2. Step 2: Convert to fraction form
    30,407.86/45,617.46 = 11,687.14/x
  3. Step 3: Cross multiply
    30,407.86x = 45,617.46 × 11,687.14
  4. Step 4: Simplify right side
    30,407.86x = 533,137,641.46
  5. Step 5: Solve for x
    x = 533,137,641.46/30,407.86
  6. Step 6: Final answer
    x = 17,532.89

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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.