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Finding the Fourth Proportional to 17,931.71, 26,897.32 and 8,064

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Solution

The fourth proportional to 17,931.71, 26,897.32 and 8,064 is: 12,095.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,931.71 : 26,897.32 = 8,064 : x
  2. Step 2: Convert to fraction form
    17,931.71/26,897.32 = 8,064/x
  3. Step 3: Cross multiply
    17,931.71x = 26,897.32 × 8,064
  4. Step 4: Simplify right side
    17,931.71x = 216,899,988.48
  5. Step 5: Solve for x
    x = 216,899,988.48/17,931.71
  6. Step 6: Final answer
    x = 12,095.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.