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Finding the Fourth Proportional to 14,349.20, 21,521.88 and 5,114

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Solution

The fourth proportional to 14,349.20, 21,521.88 and 5,114 is: 7,670.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,349.20 : 21,521.88 = 5,114 : x
  2. Step 2: Convert to fraction form
    14,349.20/21,521.88 = 5,114/x
  3. Step 3: Cross multiply
    14,349.20x = 21,521.88 × 5,114
  4. Step 4: Simplify right side
    14,349.20x = 110,062,894.32
  5. Step 5: Solve for x
    x = 110,062,894.32/14,349.20
  6. Step 6: Final answer
    x = 7,670.32

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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.