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Finding the Fourth Proportional to 14,178.78, 19,565.56 and 8,210.84

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Solution

The fourth proportional to 14,178.78, 19,565.56 and 8,210.84 is: 11,330.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,178.78 : 19,565.56 = 8,210.84 : x
  2. Step 2: Convert to fraction form
    14,178.78/19,565.56 = 8,210.84/x
  3. Step 3: Cross multiply
    14,178.78x = 19,565.56 × 8,210.84
  4. Step 4: Simplify right side
    14,178.78x = 160,649,682.67
  5. Step 5: Solve for x
    x = 160,649,682.67/14,178.78
  6. Step 6: Final answer
    x = 11,330.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.