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Finding the Fourth Proportional to 23,710.88, 35,580 and 10,564.52

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Solution

The fourth proportional to 23,710.88, 35,580 and 10,564.52 is: 15,852.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,710.88 : 35,580 = 10,564.52 : x
  2. Step 2: Convert to fraction form
    23,710.88/35,580 = 10,564.52/x
  3. Step 3: Cross multiply
    23,710.88x = 35,580 × 10,564.52
  4. Step 4: Simplify right side
    23,710.88x = 375,885,621.60
  5. Step 5: Solve for x
    x = 375,885,621.60/23,710.88
  6. Step 6: Final answer
    x = 15,852.88

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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.