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Finding the Fourth Proportional to 24,307.56, 36,470.54 and 9,527.08

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Solution

The fourth proportional to 24,307.56, 36,470.54 and 9,527.08 is: 14,294.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,307.56 : 36,470.54 = 9,527.08 : x
  2. Step 2: Convert to fraction form
    24,307.56/36,470.54 = 9,527.08/x
  3. Step 3: Cross multiply
    24,307.56x = 36,470.54 × 9,527.08
  4. Step 4: Simplify right side
    24,307.56x = 347,457,752.22
  5. Step 5: Solve for x
    x = 347,457,752.22/24,307.56
  6. Step 6: Final answer
    x = 14,294.23

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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.