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Finding the Fourth Proportional to 42,406.77, 63,565.86 and 14,317.14

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Solution

The fourth proportional to 42,406.77, 63,565.86 and 14,317.14 is: 21,460.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,406.77 : 63,565.86 = 14,317.14 : x
  2. Step 2: Convert to fraction form
    42,406.77/63,565.86 = 14,317.14/x
  3. Step 3: Cross multiply
    42,406.77x = 63,565.86 × 14,317.14
  4. Step 4: Simplify right side
    42,406.77x = 910,081,316.84
  5. Step 5: Solve for x
    x = 910,081,316.84/42,406.77
  6. Step 6: Final answer
    x = 21,460.76

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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.