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Finding the Fourth Proportional to 16,407.36, 22,657.93 and 11,384.55

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Solution

The fourth proportional to 16,407.36, 22,657.93 and 11,384.55 is: 15,721.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,407.36 : 22,657.93 = 11,384.55 : x
  2. Step 2: Convert to fraction form
    16,407.36/22,657.93 = 11,384.55/x
  3. Step 3: Cross multiply
    16,407.36x = 22,657.93 × 11,384.55
  4. Step 4: Simplify right side
    16,407.36x = 257,950,308.52
  5. Step 5: Solve for x
    x = 257,950,308.52/16,407.36
  6. Step 6: Final answer
    x = 15,721.62

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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.