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Finding the Fourth Proportional to 14,176.77, 19,565.91 and 8,210.31

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Solution

The fourth proportional to 14,176.77, 19,565.91 and 8,210.31 is: 11,331.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,176.77 : 19,565.91 = 8,210.31 : x
  2. Step 2: Convert to fraction form
    14,176.77/19,565.91 = 8,210.31/x
  3. Step 3: Cross multiply
    14,176.77x = 19,565.91 × 8,210.31
  4. Step 4: Simplify right side
    14,176.77x = 160,642,186.53
  5. Step 5: Solve for x
    x = 160,642,186.53/14,176.77
  6. Step 6: Final answer
    x = 11,331.37

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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.