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Finding the Fourth Proportional to 14,713, 22,057.08 and 6,386.74

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Solution

The fourth proportional to 14,713, 22,057.08 and 6,386.74 is: 9,574.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,713 : 22,057.08 = 6,386.74 : x
  2. Step 2: Convert to fraction form
    14,713/22,057.08 = 6,386.74/x
  3. Step 3: Cross multiply
    14,713x = 22,057.08 × 6,386.74
  4. Step 4: Simplify right side
    14,713x = 140,872,835.12
  5. Step 5: Solve for x
    x = 140,872,835.12/14,713
  6. Step 6: Final answer
    x = 9,574.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.