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Finding the Fourth Proportional to 17,713.80, 26,509.12 and 14,555.88

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Solution

The fourth proportional to 17,713.80, 26,509.12 and 14,555.88 is: 21,783.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,713.80 : 26,509.12 = 14,555.88 : x
  2. Step 2: Convert to fraction form
    17,713.80/26,509.12 = 14,555.88/x
  3. Step 3: Cross multiply
    17,713.80x = 26,509.12 × 14,555.88
  4. Step 4: Simplify right side
    17,713.80x = 385,863,569.63
  5. Step 5: Solve for x
    x = 385,863,569.63/17,713.80
  6. Step 6: Final answer
    x = 21,783.22

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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.