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Finding the Fourth Proportional to 19,973.56, 29,966.74 and 9,586.04

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Solution

The fourth proportional to 19,973.56, 29,966.74 and 9,586.04 is: 14,382.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,973.56 : 29,966.74 = 9,586.04 : x
  2. Step 2: Convert to fraction form
    19,973.56/29,966.74 = 9,586.04/x
  3. Step 3: Cross multiply
    19,973.56x = 29,966.74 × 9,586.04
  4. Step 4: Simplify right side
    19,973.56x = 287,262,368.31
  5. Step 5: Solve for x
    x = 287,262,368.31/19,973.56
  6. Step 6: Final answer
    x = 14,382.13

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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.