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Finding the Fourth Proportional to 23,117, 34,681.26 and 6,701

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Solution

The fourth proportional to 23,117, 34,681.26 and 6,701 is: 10,053.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,117 : 34,681.26 = 6,701 : x
  2. Step 2: Convert to fraction form
    23,117/34,681.26 = 6,701/x
  3. Step 3: Cross multiply
    23,117x = 34,681.26 × 6,701
  4. Step 4: Simplify right side
    23,117x = 232,399,123.26
  5. Step 5: Solve for x
    x = 232,399,123.26/23,117
  6. Step 6: Final answer
    x = 10,053.17

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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.