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Finding the Fourth Proportional to 12,532.84, 17,291.71 and 7,226.63

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Solution

The fourth proportional to 12,532.84, 17,291.71 and 7,226.63 is: 9,970.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,532.84 : 17,291.71 = 7,226.63 : x
  2. Step 2: Convert to fraction form
    12,532.84/17,291.71 = 7,226.63/x
  3. Step 3: Cross multiply
    12,532.84x = 17,291.71 × 7,226.63
  4. Step 4: Simplify right side
    12,532.84x = 124,960,777.66
  5. Step 5: Solve for x
    x = 124,960,777.66/12,532.84
  6. Step 6: Final answer
    x = 9,970.67

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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.