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Finding the Fourth Proportional to 13,873.34, 19,145.18 and 7,585.71

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Solution

The fourth proportional to 13,873.34, 19,145.18 and 7,585.71 is: 10,468.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,873.34 : 19,145.18 = 7,585.71 : x
  2. Step 2: Convert to fraction form
    13,873.34/19,145.18 = 7,585.71/x
  3. Step 3: Cross multiply
    13,873.34x = 19,145.18 × 7,585.71
  4. Step 4: Simplify right side
    13,873.34x = 145,229,802.34
  5. Step 5: Solve for x
    x = 145,229,802.34/13,873.34
  6. Step 6: Final answer
    x = 10,468.27

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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.