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Finding the Fourth Proportional to 25,374.47, 38,056.16 and 8,509.86

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Solution

The fourth proportional to 25,374.47, 38,056.16 and 8,509.86 is: 12,762.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,374.47 : 38,056.16 = 8,509.86 : x
  2. Step 2: Convert to fraction form
    25,374.47/38,056.16 = 8,509.86/x
  3. Step 3: Cross multiply
    25,374.47x = 38,056.16 × 8,509.86
  4. Step 4: Simplify right side
    25,374.47x = 323,852,408.48
  5. Step 5: Solve for x
    x = 323,852,408.48/25,374.47
  6. Step 6: Final answer
    x = 12,762.92

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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.