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Finding the Fourth Proportional to 13,152.70, 19,690.71 and 6,897.88

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Solution

The fourth proportional to 13,152.70, 19,690.71 and 6,897.88 is: 10,326.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,152.70 : 19,690.71 = 6,897.88 : x
  2. Step 2: Convert to fraction form
    13,152.70/19,690.71 = 6,897.88/x
  3. Step 3: Cross multiply
    13,152.70x = 19,690.71 × 6,897.88
  4. Step 4: Simplify right side
    13,152.70x = 135,824,154.69
  5. Step 5: Solve for x
    x = 135,824,154.69/13,152.70
  6. Step 6: Final answer
    x = 10,326.71

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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.