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Finding the Fourth Proportional to 14,770.34, 22,155.52 and 4,382

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Solution

The fourth proportional to 14,770.34, 22,155.52 and 4,382 is: 6,573.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,770.34 : 22,155.52 = 4,382 : x
  2. Step 2: Convert to fraction form
    14,770.34/22,155.52 = 4,382/x
  3. Step 3: Cross multiply
    14,770.34x = 22,155.52 × 4,382
  4. Step 4: Simplify right side
    14,770.34x = 97,085,488.64
  5. Step 5: Solve for x
    x = 97,085,488.64/14,770.34
  6. Step 6: Final answer
    x = 6,573.00

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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.