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Finding the Fourth Proportional to 14,476.32, 21,718.80 and 8,316

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Solution

The fourth proportional to 14,476.32, 21,718.80 and 8,316 is: 12,476.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,476.32 : 21,718.80 = 8,316 : x
  2. Step 2: Convert to fraction form
    14,476.32/21,718.80 = 8,316/x
  3. Step 3: Cross multiply
    14,476.32x = 21,718.80 × 8,316
  4. Step 4: Simplify right side
    14,476.32x = 180,613,540.80
  5. Step 5: Solve for x
    x = 180,613,540.80/14,476.32
  6. Step 6: Final answer
    x = 12,476.48

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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.