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Finding the Fourth Proportional to 27,646.40, 41,457.12 and 7,920.44

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Solution

The fourth proportional to 27,646.40, 41,457.12 and 7,920.44 is: 11,877.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,646.40 : 41,457.12 = 7,920.44 : x
  2. Step 2: Convert to fraction form
    27,646.40/41,457.12 = 7,920.44/x
  3. Step 3: Cross multiply
    27,646.40x = 41,457.12 × 7,920.44
  4. Step 4: Simplify right side
    27,646.40x = 328,358,631.53
  5. Step 5: Solve for x
    x = 328,358,631.53/27,646.40
  6. Step 6: Final answer
    x = 11,877.08

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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.