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Finding the Fourth Proportional to 21,897.60, 32,849.72 and 8,045.52

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Solution

The fourth proportional to 21,897.60, 32,849.72 and 8,045.52 is: 12,069.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,897.60 : 32,849.72 = 8,045.52 : x
  2. Step 2: Convert to fraction form
    21,897.60/32,849.72 = 8,045.52/x
  3. Step 3: Cross multiply
    21,897.60x = 32,849.72 × 8,045.52
  4. Step 4: Simplify right side
    21,897.60x = 264,293,079.25
  5. Step 5: Solve for x
    x = 264,293,079.25/21,897.60
  6. Step 6: Final answer
    x = 12,069.50

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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.