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Finding the Fourth Proportional to 14,176.94, 21,264.69 and 4,316

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Solution

The fourth proportional to 14,176.94, 21,264.69 and 4,316 is: 6,473.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,176.94 : 21,264.69 = 4,316 : x
  2. Step 2: Convert to fraction form
    14,176.94/21,264.69 = 4,316/x
  3. Step 3: Cross multiply
    14,176.94x = 21,264.69 × 4,316
  4. Step 4: Simplify right side
    14,176.94x = 91,778,402.04
  5. Step 5: Solve for x
    x = 91,778,402.04/14,176.94
  6. Step 6: Final answer
    x = 6,473.78

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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.