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Finding the Fourth Proportional to 12,537.98, 17,296.26 and 10,547.80

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Solution

The fourth proportional to 12,537.98, 17,296.26 and 10,547.80 is: 14,550.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,537.98 : 17,296.26 = 10,547.80 : x
  2. Step 2: Convert to fraction form
    12,537.98/17,296.26 = 10,547.80/x
  3. Step 3: Cross multiply
    12,537.98x = 17,296.26 × 10,547.80
  4. Step 4: Simplify right side
    12,537.98x = 182,437,491.23
  5. Step 5: Solve for x
    x = 182,437,491.23/12,537.98
  6. Step 6: Final answer
    x = 14,550.79

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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.