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Finding the Fourth Proportional to 19,672.45, 29,482.54 and 9,140.83

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Solution

The fourth proportional to 19,672.45, 29,482.54 and 9,140.83 is: 13,699.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,672.45 : 29,482.54 = 9,140.83 : x
  2. Step 2: Convert to fraction form
    19,672.45/29,482.54 = 9,140.83/x
  3. Step 3: Cross multiply
    19,672.45x = 29,482.54 × 9,140.83
  4. Step 4: Simplify right side
    19,672.45x = 269,494,886.11
  5. Step 5: Solve for x
    x = 269,494,886.11/19,672.45
  6. Step 6: Final answer
    x = 13,699.10

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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.