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Finding the Fourth Proportional to 12,598.49, 17,386.63 and 7,221.82

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Solution

The fourth proportional to 12,598.49, 17,386.63 and 7,221.82 is: 9,966.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,598.49 : 17,386.63 = 7,221.82 : x
  2. Step 2: Convert to fraction form
    12,598.49/17,386.63 = 7,221.82/x
  3. Step 3: Cross multiply
    12,598.49x = 17,386.63 × 7,221.82
  4. Step 4: Simplify right side
    12,598.49x = 125,563,148.42
  5. Step 5: Solve for x
    x = 125,563,148.42/12,598.49
  6. Step 6: Final answer
    x = 9,966.52

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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.