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Finding the Fourth Proportional to 15,602.52, 23,407.02 and 5,214

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Solution

The fourth proportional to 15,602.52, 23,407.02 and 5,214 is: 7,822.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,602.52 : 23,407.02 = 5,214 : x
  2. Step 2: Convert to fraction form
    15,602.52/23,407.02 = 5,214/x
  3. Step 3: Cross multiply
    15,602.52x = 23,407.02 × 5,214
  4. Step 4: Simplify right side
    15,602.52x = 122,044,202.28
  5. Step 5: Solve for x
    x = 122,044,202.28/15,602.52
  6. Step 6: Final answer
    x = 7,822.08

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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.