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Finding the Fourth Proportional to 13,713.12, 18,923.34 and 7,746

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Solution

The fourth proportional to 13,713.12, 18,923.34 and 7,746 is: 10,689.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713.12 : 18,923.34 = 7,746 : x
  2. Step 2: Convert to fraction form
    13,713.12/18,923.34 = 7,746/x
  3. Step 3: Cross multiply
    13,713.12x = 18,923.34 × 7,746
  4. Step 4: Simplify right side
    13,713.12x = 146,580,191.64
  5. Step 5: Solve for x
    x = 146,580,191.64/13,713.12
  6. Step 6: Final answer
    x = 10,689.05

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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.