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Finding the Fourth Proportional to 14,468.40, 21,707.48 and 5,698.64

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Solution

The fourth proportional to 14,468.40, 21,707.48 and 5,698.64 is: 8,549.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,468.40 : 21,707.48 = 5,698.64 : x
  2. Step 2: Convert to fraction form
    14,468.40/21,707.48 = 5,698.64/x
  3. Step 3: Cross multiply
    14,468.40x = 21,707.48 × 5,698.64
  4. Step 4: Simplify right side
    14,468.40x = 123,703,113.83
  5. Step 5: Solve for x
    x = 123,703,113.83/14,468.40
  6. Step 6: Final answer
    x = 8,549.88

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