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Finding the Fourth Proportional to 17,748, 26,632.26 and 9,851.58

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Solution

The fourth proportional to 17,748, 26,632.26 and 9,851.58 is: 14,783.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,748 : 26,632.26 = 9,851.58 : x
  2. Step 2: Convert to fraction form
    17,748/26,632.26 = 9,851.58/x
  3. Step 3: Cross multiply
    17,748x = 26,632.26 × 9,851.58
  4. Step 4: Simplify right side
    17,748x = 262,369,839.97
  5. Step 5: Solve for x
    x = 262,369,839.97/17,748
  6. Step 6: Final answer
    x = 14,783.07

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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.