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Finding the Fourth Proportional to 16,542.48, 22,822.16 and 9,465.12

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Solution

The fourth proportional to 16,542.48, 22,822.16 and 9,465.12 is: 13,058.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,542.48 : 22,822.16 = 9,465.12 : x
  2. Step 2: Convert to fraction form
    16,542.48/22,822.16 = 9,465.12/x
  3. Step 3: Cross multiply
    16,542.48x = 22,822.16 × 9,465.12
  4. Step 4: Simplify right side
    16,542.48x = 216,014,483.06
  5. Step 5: Solve for x
    x = 216,014,483.06/16,542.48
  6. Step 6: Final answer
    x = 13,058.17

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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.