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Finding the Fourth Proportional to 14,478.32, 19,980.84 and 8,191.28

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Solution

The fourth proportional to 14,478.32, 19,980.84 and 8,191.28 is: 11,304.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,478.32 : 19,980.84 = 8,191.28 : x
  2. Step 2: Convert to fraction form
    14,478.32/19,980.84 = 8,191.28/x
  3. Step 3: Cross multiply
    14,478.32x = 19,980.84 × 8,191.28
  4. Step 4: Simplify right side
    14,478.32x = 163,668,655.08
  5. Step 5: Solve for x
    x = 163,668,655.08/14,478.32
  6. Step 6: Final answer
    x = 11,304.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.