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Finding the Fourth Proportional to 12,529.98, 17,291.39 and 7,225.16

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Solution

The fourth proportional to 12,529.98, 17,291.39 and 7,225.16 is: 9,970.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,529.98 : 17,291.39 = 7,225.16 : x
  2. Step 2: Convert to fraction form
    12,529.98/17,291.39 = 7,225.16/x
  3. Step 3: Cross multiply
    12,529.98x = 17,291.39 × 7,225.16
  4. Step 4: Simplify right side
    12,529.98x = 124,932,936.79
  5. Step 5: Solve for x
    x = 124,932,936.79/12,529.98
  6. Step 6: Final answer
    x = 9,970.72

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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.