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Finding the Fourth Proportional to 27,302.66, 40,955.84 and 9,283.55

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Solution

The fourth proportional to 27,302.66, 40,955.84 and 9,283.55 is: 13,925.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,302.66 : 40,955.84 = 9,283.55 : x
  2. Step 2: Convert to fraction form
    27,302.66/40,955.84 = 9,283.55/x
  3. Step 3: Cross multiply
    27,302.66x = 40,955.84 × 9,283.55
  4. Step 4: Simplify right side
    27,302.66x = 380,215,337.24
  5. Step 5: Solve for x
    x = 380,215,337.24/27,302.66
  6. Step 6: Final answer
    x = 13,925.95

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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.