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Finding the Fourth Proportional to 17,113, 25,681.02 and 6,169

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Solution

The fourth proportional to 17,113, 25,681.02 and 6,169 is: 9,257.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,113 : 25,681.02 = 6,169 : x
  2. Step 2: Convert to fraction form
    17,113/25,681.02 = 6,169/x
  3. Step 3: Cross multiply
    17,113x = 25,681.02 × 6,169
  4. Step 4: Simplify right side
    17,113x = 158,426,212.38
  5. Step 5: Solve for x
    x = 158,426,212.38/17,113
  6. Step 6: Final answer
    x = 9,257.65

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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.