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Finding the Fourth Proportional to 10,598.52, 14,574.08 and 9,198.84

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Solution

The fourth proportional to 10,598.52, 14,574.08 and 9,198.84 is: 12,649.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,598.52 : 14,574.08 = 9,198.84 : x
  2. Step 2: Convert to fraction form
    10,598.52/14,574.08 = 9,198.84/x
  3. Step 3: Cross multiply
    10,598.52x = 14,574.08 × 9,198.84
  4. Step 4: Simplify right side
    10,598.52x = 134,064,630.07
  5. Step 5: Solve for x
    x = 134,064,630.07/10,598.52
  6. Step 6: Final answer
    x = 12,649.37

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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.