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Finding the Fourth Proportional to 13,138.47, 18,127.70 and 7,829.53

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Solution

The fourth proportional to 13,138.47, 18,127.70 and 7,829.53 is: 10,802.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,138.47 : 18,127.70 = 7,829.53 : x
  2. Step 2: Convert to fraction form
    13,138.47/18,127.70 = 7,829.53/x
  3. Step 3: Cross multiply
    13,138.47x = 18,127.70 × 7,829.53
  4. Step 4: Simplify right side
    13,138.47x = 141,931,315.87
  5. Step 5: Solve for x
    x = 141,931,315.87/13,138.47
  6. Step 6: Final answer
    x = 10,802.73

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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.