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Finding the Fourth Proportional to 14,312.60, 21,468 and 4,451.12

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Solution

The fourth proportional to 14,312.60, 21,468 and 4,451.12 is: 6,676.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,312.60 : 21,468 = 4,451.12 : x
  2. Step 2: Convert to fraction form
    14,312.60/21,468 = 4,451.12/x
  3. Step 3: Cross multiply
    14,312.60x = 21,468 × 4,451.12
  4. Step 4: Simplify right side
    14,312.60x = 95,556,644.16
  5. Step 5: Solve for x
    x = 95,556,644.16/14,312.60
  6. Step 6: Final answer
    x = 6,676.40

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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.