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Finding the Fourth Proportional to 14,721.63, 20,316.05 and 8,434

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Solution

The fourth proportional to 14,721.63, 20,316.05 and 8,434 is: 11,639.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,721.63 : 20,316.05 = 8,434 : x
  2. Step 2: Convert to fraction form
    14,721.63/20,316.05 = 8,434/x
  3. Step 3: Cross multiply
    14,721.63x = 20,316.05 × 8,434
  4. Step 4: Simplify right side
    14,721.63x = 171,345,565.70
  5. Step 5: Solve for x
    x = 171,345,565.70/14,721.63
  6. Step 6: Final answer
    x = 11,639.03

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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.