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Finding the Fourth Proportional to 15,646.10, 21,591.36 and 8,931.80

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Solution

The fourth proportional to 15,646.10, 21,591.36 and 8,931.80 is: 12,325.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,646.10 : 21,591.36 = 8,931.80 : x
  2. Step 2: Convert to fraction form
    15,646.10/21,591.36 = 8,931.80/x
  3. Step 3: Cross multiply
    15,646.10x = 21,591.36 × 8,931.80
  4. Step 4: Simplify right side
    15,646.10x = 192,849,763.23
  5. Step 5: Solve for x
    x = 192,849,763.23/15,646.10
  6. Step 6: Final answer
    x = 12,325.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.