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Finding the Fourth Proportional to 14,964, 22,449.24 and 5,730

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Solution

The fourth proportional to 14,964, 22,449.24 and 5,730 is: 8,596.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,964 : 22,449.24 = 5,730 : x
  2. Step 2: Convert to fraction form
    14,964/22,449.24 = 5,730/x
  3. Step 3: Cross multiply
    14,964x = 22,449.24 × 5,730
  4. Step 4: Simplify right side
    14,964x = 128,634,145.20
  5. Step 5: Solve for x
    x = 128,634,145.20/14,964
  6. Step 6: Final answer
    x = 8,596.24

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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.