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Finding the Fourth Proportional to 13,681.60, 20,524.52 and 5,784.14

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Solution

The fourth proportional to 13,681.60, 20,524.52 and 5,784.14 is: 8,677.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,681.60 : 20,524.52 = 5,784.14 : x
  2. Step 2: Convert to fraction form
    13,681.60/20,524.52 = 5,784.14/x
  3. Step 3: Cross multiply
    13,681.60x = 20,524.52 × 5,784.14
  4. Step 4: Simplify right side
    13,681.60x = 118,716,707.39
  5. Step 5: Solve for x
    x = 118,716,707.39/13,681.60
  6. Step 6: Final answer
    x = 8,677.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.