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Finding the Fourth Proportional to 13,873.53, 19,145.18 and 7,585.91

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Solution

The fourth proportional to 13,873.53, 19,145.18 and 7,585.91 is: 10,468.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,873.53 : 19,145.18 = 7,585.91 : x
  2. Step 2: Convert to fraction form
    13,873.53/19,145.18 = 7,585.91/x
  3. Step 3: Cross multiply
    13,873.53x = 19,145.18 × 7,585.91
  4. Step 4: Simplify right side
    13,873.53x = 145,233,478.76
  5. Step 5: Solve for x
    x = 145,233,478.76/13,873.53
  6. Step 6: Final answer
    x = 10,468.39

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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.