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Finding the Fourth Proportional to 20,499.67, 28,284.57 and 11,547.17

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Solution

The fourth proportional to 20,499.67, 28,284.57 and 11,547.17 is: 15,932.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,499.67 : 28,284.57 = 11,547.17 : x
  2. Step 2: Convert to fraction form
    20,499.67/28,284.57 = 11,547.17/x
  3. Step 3: Cross multiply
    20,499.67x = 28,284.57 × 11,547.17
  4. Step 4: Simplify right side
    20,499.67x = 326,606,702.81
  5. Step 5: Solve for x
    x = 326,606,702.81/20,499.67
  6. Step 6: Final answer
    x = 15,932.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.