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Finding the Fourth Proportional to 24,005.09, 36,007.64 and 6,475.68

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Solution

The fourth proportional to 24,005.09, 36,007.64 and 6,475.68 is: 9,713.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,005.09 : 36,007.64 = 6,475.68 : x
  2. Step 2: Convert to fraction form
    24,005.09/36,007.64 = 6,475.68/x
  3. Step 3: Cross multiply
    24,005.09x = 36,007.64 × 6,475.68
  4. Step 4: Simplify right side
    24,005.09x = 233,173,946.10
  5. Step 5: Solve for x
    x = 233,173,946.10/24,005.09
  6. Step 6: Final answer
    x = 9,713.52

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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.