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Finding the Fourth Proportional to 26,019.97, 39,030.06 and 6,298.50

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Solution

The fourth proportional to 26,019.97, 39,030.06 and 6,298.50 is: 9,447.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,019.97 : 39,030.06 = 6,298.50 : x
  2. Step 2: Convert to fraction form
    26,019.97/39,030.06 = 6,298.50/x
  3. Step 3: Cross multiply
    26,019.97x = 39,030.06 × 6,298.50
  4. Step 4: Simplify right side
    26,019.97x = 245,830,686.55
  5. Step 5: Solve for x
    x = 245,830,686.55/26,019.97
  6. Step 6: Final answer
    x = 9,447.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.