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Finding the Fourth Proportional to 17,632.16, 26,428.80 and 7,235

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Solution

The fourth proportional to 17,632.16, 26,428.80 and 7,235 is: 10,844.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,632.16 : 26,428.80 = 7,235 : x
  2. Step 2: Convert to fraction form
    17,632.16/26,428.80 = 7,235/x
  3. Step 3: Cross multiply
    17,632.16x = 26,428.80 × 7,235
  4. Step 4: Simplify right side
    17,632.16x = 191,212,368
  5. Step 5: Solve for x
    x = 191,212,368/17,632.16
  6. Step 6: Final answer
    x = 10,844.52

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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.