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Finding the Fourth Proportional to 19,655.16, 27,124.38 and 10,702.68

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Solution

The fourth proportional to 19,655.16, 27,124.38 and 10,702.68 is: 14,769.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,655.16 : 27,124.38 = 10,702.68 : x
  2. Step 2: Convert to fraction form
    19,655.16/27,124.38 = 10,702.68/x
  3. Step 3: Cross multiply
    19,655.16x = 27,124.38 × 10,702.68
  4. Step 4: Simplify right side
    19,655.16x = 290,303,559.34
  5. Step 5: Solve for x
    x = 290,303,559.34/19,655.16
  6. Step 6: Final answer
    x = 14,769.84

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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.