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Finding the Fourth Proportional to 13,598.16, 20,392.92 and 4,362

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Solution

The fourth proportional to 13,598.16, 20,392.92 and 4,362 is: 6,541.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,598.16 : 20,392.92 = 4,362 : x
  2. Step 2: Convert to fraction form
    13,598.16/20,392.92 = 4,362/x
  3. Step 3: Cross multiply
    13,598.16x = 20,392.92 × 4,362
  4. Step 4: Simplify right side
    13,598.16x = 88,953,917.04
  5. Step 5: Solve for x
    x = 88,953,917.04/13,598.16
  6. Step 6: Final answer
    x = 6,541.61

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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.