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Finding the Fourth Proportional to 19,034, 26,266.92 and 10,652.12

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Solution

The fourth proportional to 19,034, 26,266.92 and 10,652.12 is: 14,699.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,034 : 26,266.92 = 10,652.12 : x
  2. Step 2: Convert to fraction form
    19,034/26,266.92 = 10,652.12/x
  3. Step 3: Cross multiply
    19,034x = 26,266.92 × 10,652.12
  4. Step 4: Simplify right side
    19,034x = 279,798,383.87
  5. Step 5: Solve for x
    x = 279,798,383.87/19,034
  6. Step 6: Final answer
    x = 14,699.93

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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.