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Finding the Fourth Proportional to 21,374.80, 32,062.20 and 9,710.80

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Solution

The fourth proportional to 21,374.80, 32,062.20 and 9,710.80 is: 14,566.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,374.80 : 32,062.20 = 9,710.80 : x
  2. Step 2: Convert to fraction form
    21,374.80/32,062.20 = 9,710.80/x
  3. Step 3: Cross multiply
    21,374.80x = 32,062.20 × 9,710.80
  4. Step 4: Simplify right side
    21,374.80x = 311,349,611.76
  5. Step 5: Solve for x
    x = 311,349,611.76/21,374.80
  6. Step 6: Final answer
    x = 14,566.20

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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.