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Finding the Fourth Proportional to 14,349.16, 21,525.90 and 5,113

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Solution

The fourth proportional to 14,349.16, 21,525.90 and 5,113 is: 7,670.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,349.16 : 21,525.90 = 5,113 : x
  2. Step 2: Convert to fraction form
    14,349.16/21,525.90 = 5,113/x
  3. Step 3: Cross multiply
    14,349.16x = 21,525.90 × 5,113
  4. Step 4: Simplify right side
    14,349.16x = 110,061,926.70
  5. Step 5: Solve for x
    x = 110,061,926.70/14,349.16
  6. Step 6: Final answer
    x = 7,670.27

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Why These Related Problems?

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