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Finding the Fourth Proportional to 16,822.51, 23,214.87 and 9,748.78

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Solution

The fourth proportional to 16,822.51, 23,214.87 and 9,748.78 is: 13,453.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,822.51 : 23,214.87 = 9,748.78 : x
  2. Step 2: Convert to fraction form
    16,822.51/23,214.87 = 9,748.78/x
  3. Step 3: Cross multiply
    16,822.51x = 23,214.87 × 9,748.78
  4. Step 4: Simplify right side
    16,822.51x = 226,316,602.32
  5. Step 5: Solve for x
    x = 226,316,602.32/16,822.51
  6. Step 6: Final answer
    x = 13,453.20

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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.