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Finding the Fourth Proportional to 24,386.18, 36,581.43 and 6,856.16

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Solution

The fourth proportional to 24,386.18, 36,581.43 and 6,856.16 is: 10,284.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,386.18 : 36,581.43 = 6,856.16 : x
  2. Step 2: Convert to fraction form
    24,386.18/36,581.43 = 6,856.16/x
  3. Step 3: Cross multiply
    24,386.18x = 36,581.43 × 6,856.16
  4. Step 4: Simplify right side
    24,386.18x = 250,808,137.11
  5. Step 5: Solve for x
    x = 250,808,137.11/24,386.18
  6. Step 6: Final answer
    x = 10,284.85

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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.