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Finding the Fourth Proportional to 13,598.52, 18,765.74 and 7,548.75

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Solution

The fourth proportional to 13,598.52, 18,765.74 and 7,548.75 is: 10,417.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,598.52 : 18,765.74 = 7,548.75 : x
  2. Step 2: Convert to fraction form
    13,598.52/18,765.74 = 7,548.75/x
  3. Step 3: Cross multiply
    13,598.52x = 18,765.74 × 7,548.75
  4. Step 4: Simplify right side
    13,598.52x = 141,657,879.83
  5. Step 5: Solve for x
    x = 141,657,879.83/13,598.52
  6. Step 6: Final answer
    x = 10,417.15

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