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Finding the Fourth Proportional to 16,358.36, 22,574.52 and 9,188.28

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Solution

The fourth proportional to 16,358.36, 22,574.52 and 9,188.28 is: 12,679.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,358.36 : 22,574.52 = 9,188.28 : x
  2. Step 2: Convert to fraction form
    16,358.36/22,574.52 = 9,188.28/x
  3. Step 3: Cross multiply
    16,358.36x = 22,574.52 × 9,188.28
  4. Step 4: Simplify right side
    16,358.36x = 207,421,010.63
  5. Step 5: Solve for x
    x = 207,421,010.63/16,358.36
  6. Step 6: Final answer
    x = 12,679.82

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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.