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Finding the Fourth Proportional to 19,602, 27,050.76 and 10,770

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Solution

The fourth proportional to 19,602, 27,050.76 and 10,770 is: 14,862.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,602 : 27,050.76 = 10,770 : x
  2. Step 2: Convert to fraction form
    19,602/27,050.76 = 10,770/x
  3. Step 3: Cross multiply
    19,602x = 27,050.76 × 10,770
  4. Step 4: Simplify right side
    19,602x = 291,336,685.20
  5. Step 5: Solve for x
    x = 291,336,685.20/19,602
  6. Step 6: Final answer
    x = 14,862.60

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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.