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Finding the Fourth Proportional to 13,153, 18,151.68 and 7,564

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Solution

The fourth proportional to 13,153, 18,151.68 and 7,564 is: 10,438.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,153 : 18,151.68 = 7,564 : x
  2. Step 2: Convert to fraction form
    13,153/18,151.68 = 7,564/x
  3. Step 3: Cross multiply
    13,153x = 18,151.68 × 7,564
  4. Step 4: Simplify right side
    13,153x = 137,299,307.52
  5. Step 5: Solve for x
    x = 137,299,307.52/13,153
  6. Step 6: Final answer
    x = 10,438.63

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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.