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Finding the Fourth Proportional to 24,203.64, 36,280.98 and 9,403.32

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Solution

The fourth proportional to 24,203.64, 36,280.98 and 9,403.32 is: 14,095.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,203.64 : 36,280.98 = 9,403.32 : x
  2. Step 2: Convert to fraction form
    24,203.64/36,280.98 = 9,403.32/x
  3. Step 3: Cross multiply
    24,203.64x = 36,280.98 × 9,403.32
  4. Step 4: Simplify right side
    24,203.64x = 341,161,664.85
  5. Step 5: Solve for x
    x = 341,161,664.85/24,203.64
  6. Step 6: Final answer
    x = 14,095.47

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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.