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Finding the Fourth Proportional to 14,045.47, 19,382.31 and 7,671.96

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Solution

The fourth proportional to 14,045.47, 19,382.31 and 7,671.96 is: 10,587.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,045.47 : 19,382.31 = 7,671.96 : x
  2. Step 2: Convert to fraction form
    14,045.47/19,382.31 = 7,671.96/x
  3. Step 3: Cross multiply
    14,045.47x = 19,382.31 × 7,671.96
  4. Step 4: Simplify right side
    14,045.47x = 148,700,307.03
  5. Step 5: Solve for x
    x = 148,700,307.03/14,045.47
  6. Step 6: Final answer
    x = 10,587.06

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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.