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Finding the Fourth Proportional to 14,560.90, 21,830.55 and 6,234.10

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Solution

The fourth proportional to 14,560.90, 21,830.55 and 6,234.10 is: 9,346.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,560.90 : 21,830.55 = 6,234.10 : x
  2. Step 2: Convert to fraction form
    14,560.90/21,830.55 = 6,234.10/x
  3. Step 3: Cross multiply
    14,560.90x = 21,830.55 × 6,234.10
  4. Step 4: Simplify right side
    14,560.90x = 136,093,831.76
  5. Step 5: Solve for x
    x = 136,093,831.76/14,560.90
  6. Step 6: Final answer
    x = 9,346.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.