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Finding the Fourth Proportional to 13,052.34, 19,580.13 and 6,476.76

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Solution

The fourth proportional to 13,052.34, 19,580.13 and 6,476.76 is: 9,715.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,052.34 : 19,580.13 = 6,476.76 : x
  2. Step 2: Convert to fraction form
    13,052.34/19,580.13 = 6,476.76/x
  3. Step 3: Cross multiply
    13,052.34x = 19,580.13 × 6,476.76
  4. Step 4: Simplify right side
    13,052.34x = 126,815,802.78
  5. Step 5: Solve for x
    x = 126,815,802.78/13,052.34
  6. Step 6: Final answer
    x = 9,715.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.