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Finding the Fourth Proportional to 14,132.50, 21,202.54 and 4,898.50

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Solution

The fourth proportional to 14,132.50, 21,202.54 and 4,898.50 is: 7,349.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,132.50 : 21,202.54 = 4,898.50 : x
  2. Step 2: Convert to fraction form
    14,132.50/21,202.54 = 4,898.50/x
  3. Step 3: Cross multiply
    14,132.50x = 21,202.54 × 4,898.50
  4. Step 4: Simplify right side
    14,132.50x = 103,860,642.19
  5. Step 5: Solve for x
    x = 103,860,642.19/14,132.50
  6. Step 6: Final answer
    x = 7,349.06

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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.