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Finding the Fourth Proportional to 20,405.69, 30,624.93 and 10,547.85

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Solution

The fourth proportional to 20,405.69, 30,624.93 and 10,547.85 is: 15,830.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,405.69 : 30,624.93 = 10,547.85 : x
  2. Step 2: Convert to fraction form
    20,405.69/30,624.93 = 10,547.85/x
  3. Step 3: Cross multiply
    20,405.69x = 30,624.93 × 10,547.85
  4. Step 4: Simplify right side
    20,405.69x = 323,027,167.90
  5. Step 5: Solve for x
    x = 323,027,167.90/20,405.69
  6. Step 6: Final answer
    x = 15,830.25

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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.