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Finding the Fourth Proportional to 13,187.70, 19,780.56 and 5,289.93

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Solution

The fourth proportional to 13,187.70, 19,780.56 and 5,289.93 is: 7,934.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,187.70 : 19,780.56 = 5,289.93 : x
  2. Step 2: Convert to fraction form
    13,187.70/19,780.56 = 5,289.93/x
  3. Step 3: Cross multiply
    13,187.70x = 19,780.56 × 5,289.93
  4. Step 4: Simplify right side
    13,187.70x = 104,637,777.76
  5. Step 5: Solve for x
    x = 104,637,777.76/13,187.70
  6. Step 6: Final answer
    x = 7,934.50

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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.