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Finding the Fourth Proportional to 21,506.25, 29,678.63 and 12,074.81

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Solution

The fourth proportional to 21,506.25, 29,678.63 and 12,074.81 is: 16,663.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,506.25 : 29,678.63 = 12,074.81 : x
  2. Step 2: Convert to fraction form
    21,506.25/29,678.63 = 12,074.81/x
  3. Step 3: Cross multiply
    21,506.25x = 29,678.63 × 12,074.81
  4. Step 4: Simplify right side
    21,506.25x = 358,363,832.13
  5. Step 5: Solve for x
    x = 358,363,832.13/21,506.25
  6. Step 6: Final answer
    x = 16,663.24

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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.