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Finding the Fourth Proportional to 27,098.40, 40,621.16 and 11,307.98

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Solution

The fourth proportional to 27,098.40, 40,621.16 and 11,307.98 is: 16,950.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,098.40 : 40,621.16 = 11,307.98 : x
  2. Step 2: Convert to fraction form
    27,098.40/40,621.16 = 11,307.98/x
  3. Step 3: Cross multiply
    27,098.40x = 40,621.16 × 11,307.98
  4. Step 4: Simplify right side
    27,098.40x = 459,343,264.86
  5. Step 5: Solve for x
    x = 459,343,264.86/27,098.40
  6. Step 6: Final answer
    x = 16,950.94

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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.