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Finding the Fourth Proportional to 13,118.76, 19,691.58 and 10,228.68

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Solution

The fourth proportional to 13,118.76, 19,691.58 and 10,228.68 is: 15,353.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,118.76 : 19,691.58 = 10,228.68 : x
  2. Step 2: Convert to fraction form
    13,118.76/19,691.58 = 10,228.68/x
  3. Step 3: Cross multiply
    13,118.76x = 19,691.58 × 10,228.68
  4. Step 4: Simplify right side
    13,118.76x = 201,418,870.51
  5. Step 5: Solve for x
    x = 201,418,870.51/13,118.76
  6. Step 6: Final answer
    x = 15,353.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.