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Finding the Fourth Proportional to 15,852.20, 23,781.54 and 7,088

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Solution

The fourth proportional to 15,852.20, 23,781.54 and 7,088 is: 10,633.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,852.20 : 23,781.54 = 7,088 : x
  2. Step 2: Convert to fraction form
    15,852.20/23,781.54 = 7,088/x
  3. Step 3: Cross multiply
    15,852.20x = 23,781.54 × 7,088
  4. Step 4: Simplify right side
    15,852.20x = 168,563,555.52
  5. Step 5: Solve for x
    x = 168,563,555.52/15,852.20
  6. Step 6: Final answer
    x = 10,633.45

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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.