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Finding the Fourth Proportional to 23,206.32, 34,807.39 and 6,565.98

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Solution

The fourth proportional to 23,206.32, 34,807.39 and 6,565.98 is: 9,848.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,206.32 : 34,807.39 = 6,565.98 : x
  2. Step 2: Convert to fraction form
    23,206.32/34,807.39 = 6,565.98/x
  3. Step 3: Cross multiply
    23,206.32x = 34,807.39 × 6,565.98
  4. Step 4: Simplify right side
    23,206.32x = 228,544,626.59
  5. Step 5: Solve for x
    x = 228,544,626.59/23,206.32
  6. Step 6: Final answer
    x = 9,848.38

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