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Finding the Fourth Proportional to 14,570, 21,853.14 and 4,708.25

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Solution

The fourth proportional to 14,570, 21,853.14 and 4,708.25 is: 7,061.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,570 : 21,853.14 = 4,708.25 : x
  2. Step 2: Convert to fraction form
    14,570/21,853.14 = 4,708.25/x
  3. Step 3: Cross multiply
    14,570x = 21,853.14 × 4,708.25
  4. Step 4: Simplify right side
    14,570x = 102,890,046.41
  5. Step 5: Solve for x
    x = 102,890,046.41/14,570
  6. Step 6: Final answer
    x = 7,061.77

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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.