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Finding the Fourth Proportional to 13,873.17, 19,145.06 and 7,585.55

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Solution

The fourth proportional to 13,873.17, 19,145.06 and 7,585.55 is: 10,468.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,873.17 : 19,145.06 = 7,585.55 : x
  2. Step 2: Convert to fraction form
    13,873.17/19,145.06 = 7,585.55/x
  3. Step 3: Cross multiply
    13,873.17x = 19,145.06 × 7,585.55
  4. Step 4: Simplify right side
    13,873.17x = 145,225,809.88
  5. Step 5: Solve for x
    x = 145,225,809.88/13,873.17
  6. Step 6: Final answer
    x = 10,468.11

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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.