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Finding the Fourth Proportional to 24,097.84, 36,141.18 and 6,564.16

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Solution

The fourth proportional to 24,097.84, 36,141.18 and 6,564.16 is: 9,844.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,097.84 : 36,141.18 = 6,564.16 : x
  2. Step 2: Convert to fraction form
    24,097.84/36,141.18 = 6,564.16/x
  3. Step 3: Cross multiply
    24,097.84x = 36,141.18 × 6,564.16
  4. Step 4: Simplify right side
    24,097.84x = 237,236,488.11
  5. Step 5: Solve for x
    x = 237,236,488.11/24,097.84
  6. Step 6: Final answer
    x = 9,844.72

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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.