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Finding the Fourth Proportional to 29,823.60, 44,734.56 and 12,280.32

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Solution

The fourth proportional to 29,823.60, 44,734.56 and 12,280.32 is: 18,420.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,823.60 : 44,734.56 = 12,280.32 : x
  2. Step 2: Convert to fraction form
    29,823.60/44,734.56 = 12,280.32/x
  3. Step 3: Cross multiply
    29,823.60x = 44,734.56 × 12,280.32
  4. Step 4: Simplify right side
    29,823.60x = 549,354,711.86
  5. Step 5: Solve for x
    x = 549,354,711.86/29,823.60
  6. Step 6: Final answer
    x = 18,420.13

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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.