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Finding the Fourth Proportional to 19,353, 26,707.14 and 10,970.04

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Solution

The fourth proportional to 19,353, 26,707.14 and 10,970.04 is: 15,138.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,353 : 26,707.14 = 10,970.04 : x
  2. Step 2: Convert to fraction form
    19,353/26,707.14 = 10,970.04/x
  3. Step 3: Cross multiply
    19,353x = 26,707.14 × 10,970.04
  4. Step 4: Simplify right side
    19,353x = 292,978,394.09
  5. Step 5: Solve for x
    x = 292,978,394.09/19,353
  6. Step 6: Final answer
    x = 15,138.66

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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.