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Finding the Fourth Proportional to 16,509.13, 22,824.93 and 12,523.93

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Solution

The fourth proportional to 16,509.13, 22,824.93 and 12,523.93 is: 17,315.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509.13 : 22,824.93 = 12,523.93 : x
  2. Step 2: Convert to fraction form
    16,509.13/22,824.93 = 12,523.93/x
  3. Step 3: Cross multiply
    16,509.13x = 22,824.93 × 12,523.93
  4. Step 4: Simplify right side
    16,509.13x = 285,857,825.57
  5. Step 5: Solve for x
    x = 285,857,825.57/16,509.13
  6. Step 6: Final answer
    x = 17,315.14

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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.