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Finding the Fourth Proportional to 13,130, 18,119.56 and 7,541.52

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Solution

The fourth proportional to 13,130, 18,119.56 and 7,541.52 is: 10,407.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,130 : 18,119.56 = 7,541.52 : x
  2. Step 2: Convert to fraction form
    13,130/18,119.56 = 7,541.52/x
  3. Step 3: Cross multiply
    13,130x = 18,119.56 × 7,541.52
  4. Step 4: Simplify right side
    13,130x = 136,649,024.13
  5. Step 5: Solve for x
    x = 136,649,024.13/13,130
  6. Step 6: Final answer
    x = 10,407.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.