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Finding the Fourth Proportional to 13,674.38, 18,870.66 and 7,386.76

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Solution

The fourth proportional to 13,674.38, 18,870.66 and 7,386.76 is: 10,193.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.38 : 18,870.66 = 7,386.76 : x
  2. Step 2: Convert to fraction form
    13,674.38/18,870.66 = 7,386.76/x
  3. Step 3: Cross multiply
    13,674.38x = 18,870.66 × 7,386.76
  4. Step 4: Simplify right side
    13,674.38x = 139,393,036.46
  5. Step 5: Solve for x
    x = 139,393,036.46/13,674.38
  6. Step 6: Final answer
    x = 10,193.74

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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.