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Finding the Fourth Proportional to 21,583.84, 32,368.56 and 8,432.80

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Solution

The fourth proportional to 21,583.84, 32,368.56 and 8,432.80 is: 12,646.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,583.84 : 32,368.56 = 8,432.80 : x
  2. Step 2: Convert to fraction form
    21,583.84/32,368.56 = 8,432.80/x
  3. Step 3: Cross multiply
    21,583.84x = 32,368.56 × 8,432.80
  4. Step 4: Simplify right side
    21,583.84x = 272,957,592.77
  5. Step 5: Solve for x
    x = 272,957,592.77/21,583.84
  6. Step 6: Final answer
    x = 12,646.39

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1.5x scale

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.