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Finding the Fourth Proportional to 14,565.06, 21,850.83 and 4,176

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Solution

The fourth proportional to 14,565.06, 21,850.83 and 4,176 is: 6,264.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,565.06 : 21,850.83 = 4,176 : x
  2. Step 2: Convert to fraction form
    14,565.06/21,850.83 = 4,176/x
  3. Step 3: Cross multiply
    14,565.06x = 21,850.83 × 4,176
  4. Step 4: Simplify right side
    14,565.06x = 91,249,066.08
  5. Step 5: Solve for x
    x = 91,249,066.08/14,565.06
  6. Step 6: Final answer
    x = 6,264.93

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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.