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Finding the Fourth Proportional to 10,180.90, 13,700.47 and 10,180.90

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Solution

The fourth proportional to 10,180.90, 13,700.47 and 10,180.90 is: 13,700.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,180.90 : 13,700.47 = 10,180.90 : x
  2. Step 2: Convert to fraction form
    10,180.90/13,700.47 = 10,180.90/x
  3. Step 3: Cross multiply
    10,180.90x = 13,700.47 × 10,180.90
  4. Step 4: Simplify right side
    10,180.90x = 139,483,115.02
  5. Step 5: Solve for x
    x = 139,483,115.02/10,180.90
  6. Step 6: Final answer
    x = 13,700.47

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.