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Finding the Fourth Proportional to 17,625.12, 26,417.52 and 7,224

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Solution

The fourth proportional to 17,625.12, 26,417.52 and 7,224 is: 10,827.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,625.12 : 26,417.52 = 7,224 : x
  2. Step 2: Convert to fraction form
    17,625.12/26,417.52 = 7,224/x
  3. Step 3: Cross multiply
    17,625.12x = 26,417.52 × 7,224
  4. Step 4: Simplify right side
    17,625.12x = 190,840,164.48
  5. Step 5: Solve for x
    x = 190,840,164.48/17,625.12
  6. Step 6: Final answer
    x = 10,827.74

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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.