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Finding the Fourth Proportional to 27,332.88, 40,984.08 and 17,466

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Solution

The fourth proportional to 27,332.88, 40,984.08 and 17,466 is: 26,189.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,332.88 : 40,984.08 = 17,466 : x
  2. Step 2: Convert to fraction form
    27,332.88/40,984.08 = 17,466/x
  3. Step 3: Cross multiply
    27,332.88x = 40,984.08 × 17,466
  4. Step 4: Simplify right side
    27,332.88x = 715,827,941.28
  5. Step 5: Solve for x
    x = 715,827,941.28/27,332.88
  6. Step 6: Final answer
    x = 26,189.26

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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.