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Finding the Fourth Proportional to 14,178.81, 19,565.63 and 8,210.87

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Solution

The fourth proportional to 14,178.81, 19,565.63 and 8,210.87 is: 11,330.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,178.81 : 19,565.63 = 8,210.87 : x
  2. Step 2: Convert to fraction form
    14,178.81/19,565.63 = 8,210.87/x
  3. Step 3: Cross multiply
    14,178.81x = 19,565.63 × 8,210.87
  4. Step 4: Simplify right side
    14,178.81x = 160,650,705.52
  5. Step 5: Solve for x
    x = 160,650,705.52/14,178.81
  6. Step 6: Final answer
    x = 11,330.34

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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.