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Finding the Fourth Proportional to 13,585.68, 18,748.71 and 7,924.05

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Solution

The fourth proportional to 13,585.68, 18,748.71 and 7,924.05 is: 10,935.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,585.68 : 18,748.71 = 7,924.05 : x
  2. Step 2: Convert to fraction form
    13,585.68/18,748.71 = 7,924.05/x
  3. Step 3: Cross multiply
    13,585.68x = 18,748.71 × 7,924.05
  4. Step 4: Simplify right side
    13,585.68x = 148,565,715.48
  5. Step 5: Solve for x
    x = 148,565,715.48/13,585.68
  6. Step 6: Final answer
    x = 10,935.46

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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.