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Finding the Fourth Proportional to 13,878, 19,151.64 and 7,590.38

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Solution

The fourth proportional to 13,878, 19,151.64 and 7,590.38 is: 10,474.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,878 : 19,151.64 = 7,590.38 : x
  2. Step 2: Convert to fraction form
    13,878/19,151.64 = 7,590.38/x
  3. Step 3: Cross multiply
    13,878x = 19,151.64 × 7,590.38
  4. Step 4: Simplify right side
    13,878x = 145,368,129.47
  5. Step 5: Solve for x
    x = 145,368,129.47/13,878
  6. Step 6: Final answer
    x = 10,474.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.