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Finding the Fourth Proportional to 19,684.40, 27,158.64 and 12,598.52

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Solution

The fourth proportional to 19,684.40, 27,158.64 and 12,598.52 is: 17,382.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,684.40 : 27,158.64 = 12,598.52 : x
  2. Step 2: Convert to fraction form
    19,684.40/27,158.64 = 12,598.52/x
  3. Step 3: Cross multiply
    19,684.40x = 27,158.64 × 12,598.52
  4. Step 4: Simplify right side
    19,684.40x = 342,158,669.21
  5. Step 5: Solve for x
    x = 342,158,669.21/19,684.40
  6. Step 6: Final answer
    x = 17,382.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.