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Finding the Fourth Proportional to 13,902.74, 20,948.98 and 11,491.58

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Solution

The fourth proportional to 13,902.74, 20,948.98 and 11,491.58 is: 17,315.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902.74 : 20,948.98 = 11,491.58 : x
  2. Step 2: Convert to fraction form
    13,902.74/20,948.98 = 11,491.58/x
  3. Step 3: Cross multiply
    13,902.74x = 20,948.98 × 11,491.58
  4. Step 4: Simplify right side
    13,902.74x = 240,736,746.11
  5. Step 5: Solve for x
    x = 240,736,746.11/13,902.74
  6. Step 6: Final answer
    x = 17,315.77

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.