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Finding the Fourth Proportional to 15,098.46, 20,832.52 and 9,130.00

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Solution

The fourth proportional to 15,098.46, 20,832.52 and 9,130.00 is: 12,597.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,098.46 : 20,832.52 = 9,130.00 : x
  2. Step 2: Convert to fraction form
    15,098.46/20,832.52 = 9,130.00/x
  3. Step 3: Cross multiply
    15,098.46x = 20,832.52 × 9,130.00
  4. Step 4: Simplify right side
    15,098.46x = 190,200,967.00
  5. Step 5: Solve for x
    x = 190,200,967.00/15,098.46
  6. Step 6: Final answer
    x = 12,597.38

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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.