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Finding the Fourth Proportional to 24,313.64, 36,470.45 and 12,602.25

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Solution

The fourth proportional to 24,313.64, 36,470.45 and 12,602.25 is: 18,903.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,313.64 : 36,470.45 = 12,602.25 : x
  2. Step 2: Convert to fraction form
    24,313.64/36,470.45 = 12,602.25/x
  3. Step 3: Cross multiply
    24,313.64x = 36,470.45 × 12,602.25
  4. Step 4: Simplify right side
    24,313.64x = 459,609,760.02
  5. Step 5: Solve for x
    x = 459,609,760.02/24,313.64
  6. Step 6: Final answer
    x = 18,903.38

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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.