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Finding the Fourth Proportional to 12,159.84, 16,780.32 and 7,123.44

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Solution

The fourth proportional to 12,159.84, 16,780.32 and 7,123.44 is: 9,830.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,159.84 : 16,780.32 = 7,123.44 : x
  2. Step 2: Convert to fraction form
    12,159.84/16,780.32 = 7,123.44/x
  3. Step 3: Cross multiply
    12,159.84x = 16,780.32 × 7,123.44
  4. Step 4: Simplify right side
    12,159.84x = 119,533,602.70
  5. Step 5: Solve for x
    x = 119,533,602.70/12,159.84
  6. Step 6: Final answer
    x = 9,830.20

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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.