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Finding the Fourth Proportional to 15,442.86, 21,299.90 and 9,778.53

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Solution

The fourth proportional to 15,442.86, 21,299.90 and 9,778.53 is: 13,487.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,442.86 : 21,299.90 = 9,778.53 : x
  2. Step 2: Convert to fraction form
    15,442.86/21,299.90 = 9,778.53/x
  3. Step 3: Cross multiply
    15,442.86x = 21,299.90 × 9,778.53
  4. Step 4: Simplify right side
    15,442.86x = 208,281,662.25
  5. Step 5: Solve for x
    x = 208,281,662.25/15,442.86
  6. Step 6: Final answer
    x = 13,487.25

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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.