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Finding the Fourth Proportional to 24,509.59, 36,776.53 and 9,718.18

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Solution

The fourth proportional to 24,509.59, 36,776.53 and 9,718.18 is: 14,582.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,509.59 : 36,776.53 = 9,718.18 : x
  2. Step 2: Convert to fraction form
    24,509.59/36,776.53 = 9,718.18/x
  3. Step 3: Cross multiply
    24,509.59x = 36,776.53 × 9,718.18
  4. Step 4: Simplify right side
    24,509.59x = 357,400,858.52
  5. Step 5: Solve for x
    x = 357,400,858.52/24,509.59
  6. Step 6: Final answer
    x = 14,582.08

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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.