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Finding the Fourth Proportional to 13,686.40, 20,528.16 and 5,894.08

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Solution

The fourth proportional to 13,686.40, 20,528.16 and 5,894.08 is: 8,840.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686.40 : 20,528.16 = 5,894.08 : x
  2. Step 2: Convert to fraction form
    13,686.40/20,528.16 = 5,894.08/x
  3. Step 3: Cross multiply
    13,686.40x = 20,528.16 × 5,894.08
  4. Step 4: Simplify right side
    13,686.40x = 120,994,617.29
  5. Step 5: Solve for x
    x = 120,994,617.29/13,686.40
  6. Step 6: Final answer
    x = 8,840.50

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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.