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Finding the Fourth Proportional to 15,690.69, 21,647.85 and 8,971.53

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Solution

The fourth proportional to 15,690.69, 21,647.85 and 8,971.53 is: 12,377.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,690.69 : 21,647.85 = 8,971.53 : x
  2. Step 2: Convert to fraction form
    15,690.69/21,647.85 = 8,971.53/x
  3. Step 3: Cross multiply
    15,690.69x = 21,647.85 × 8,971.53
  4. Step 4: Simplify right side
    15,690.69x = 194,214,428.77
  5. Step 5: Solve for x
    x = 194,214,428.77/15,690.69
  6. Step 6: Final answer
    x = 12,377.69

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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.