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Finding the Fourth Proportional to 15,685.58, 21,646.96 and 8,971.49

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Solution

The fourth proportional to 15,685.58, 21,646.96 and 8,971.49 is: 12,381.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,685.58 : 21,646.96 = 8,971.49 : x
  2. Step 2: Convert to fraction form
    15,685.58/21,646.96 = 8,971.49/x
  3. Step 3: Cross multiply
    15,685.58x = 21,646.96 × 8,971.49
  4. Step 4: Simplify right side
    15,685.58x = 194,205,354.51
  5. Step 5: Solve for x
    x = 194,205,354.51/15,685.58
  6. Step 6: Final answer
    x = 12,381.14

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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.