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Finding the Fourth Proportional to 14,141.10, 21,211.65 and 8,309.10

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Solution

The fourth proportional to 14,141.10, 21,211.65 and 8,309.10 is: 12,463.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,141.10 : 21,211.65 = 8,309.10 : x
  2. Step 2: Convert to fraction form
    14,141.10/21,211.65 = 8,309.10/x
  3. Step 3: Cross multiply
    14,141.10x = 21,211.65 × 8,309.10
  4. Step 4: Simplify right side
    14,141.10x = 176,249,721.02
  5. Step 5: Solve for x
    x = 176,249,721.02/14,141.10
  6. Step 6: Final answer
    x = 12,463.65

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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.