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Finding the Fourth Proportional to 16,538.13, 22,823.64 and 9,464.40

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Solution

The fourth proportional to 16,538.13, 22,823.64 and 9,464.40 is: 13,061.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538.13 : 22,823.64 = 9,464.40 : x
  2. Step 2: Convert to fraction form
    16,538.13/22,823.64 = 9,464.40/x
  3. Step 3: Cross multiply
    16,538.13x = 22,823.64 × 9,464.40
  4. Step 4: Simplify right side
    16,538.13x = 216,012,058.42
  5. Step 5: Solve for x
    x = 216,012,058.42/16,538.13
  6. Step 6: Final answer
    x = 13,061.46

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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.