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Finding the Fourth Proportional to 19,482, 26,885.16 and 11,098.50

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Solution

The fourth proportional to 19,482, 26,885.16 and 11,098.50 is: 15,315.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,482 : 26,885.16 = 11,098.50 : x
  2. Step 2: Convert to fraction form
    19,482/26,885.16 = 11,098.50/x
  3. Step 3: Cross multiply
    19,482x = 26,885.16 × 11,098.50
  4. Step 4: Simplify right side
    19,482x = 298,384,948.26
  5. Step 5: Solve for x
    x = 298,384,948.26/19,482
  6. Step 6: Final answer
    x = 15,315.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.