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Finding the Fourth Proportional to 17,667.74, 24,381.42 and 9,710.46

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Solution

The fourth proportional to 17,667.74, 24,381.42 and 9,710.46 is: 13,400.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,667.74 : 24,381.42 = 9,710.46 : x
  2. Step 2: Convert to fraction form
    17,667.74/24,381.42 = 9,710.46/x
  3. Step 3: Cross multiply
    17,667.74x = 24,381.42 × 9,710.46
  4. Step 4: Simplify right side
    17,667.74x = 236,754,803.65
  5. Step 5: Solve for x
    x = 236,754,803.65/17,667.74
  6. Step 6: Final answer
    x = 13,400.40

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