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Finding the Fourth Proportional to 15,781, 23,673.98 and 4,686.56

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Solution

The fourth proportional to 15,781, 23,673.98 and 4,686.56 is: 7,030.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,781 : 23,673.98 = 4,686.56 : x
  2. Step 2: Convert to fraction form
    15,781/23,673.98 = 4,686.56/x
  3. Step 3: Cross multiply
    15,781x = 23,673.98 × 4,686.56
  4. Step 4: Simplify right side
    15,781x = 110,949,527.71
  5. Step 5: Solve for x
    x = 110,949,527.71/15,781
  6. Step 6: Final answer
    x = 7,030.58

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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.