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Finding the Fourth Proportional to 13,593.08, 20,392.86 and 5,802.50

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Solution

The fourth proportional to 13,593.08, 20,392.86 and 5,802.50 is: 8,705.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,593.08 : 20,392.86 = 5,802.50 : x
  2. Step 2: Convert to fraction form
    13,593.08/20,392.86 = 5,802.50/x
  3. Step 3: Cross multiply
    13,593.08x = 20,392.86 × 5,802.50
  4. Step 4: Simplify right side
    13,593.08x = 118,329,570.15
  5. Step 5: Solve for x
    x = 118,329,570.15/13,593.08
  6. Step 6: Final answer
    x = 8,705.13

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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.