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Finding the Fourth Proportional to 14,458.90, 21,679.55 and 5,683.30

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Solution

The fourth proportional to 14,458.90, 21,679.55 and 5,683.30 is: 8,521.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,458.90 : 21,679.55 = 5,683.30 : x
  2. Step 2: Convert to fraction form
    14,458.90/21,679.55 = 5,683.30/x
  3. Step 3: Cross multiply
    14,458.90x = 21,679.55 × 5,683.30
  4. Step 4: Simplify right side
    14,458.90x = 123,211,386.52
  5. Step 5: Solve for x
    x = 123,211,386.52/14,458.90
  6. Step 6: Final answer
    x = 8,521.49

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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.