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Finding the Fourth Proportional to 15,365.50, 23,051.28 and 5,502.13

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Solution

The fourth proportional to 15,365.50, 23,051.28 and 5,502.13 is: 8,254.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,365.50 : 23,051.28 = 5,502.13 : x
  2. Step 2: Convert to fraction form
    15,365.50/23,051.28 = 5,502.13/x
  3. Step 3: Cross multiply
    15,365.50x = 23,051.28 × 5,502.13
  4. Step 4: Simplify right side
    15,365.50x = 126,831,139.23
  5. Step 5: Solve for x
    x = 126,831,139.23/15,365.50
  6. Step 6: Final answer
    x = 8,254.28

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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.