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Finding the Fourth Proportional to 16,416.38, 22,657.22 and 9,345.08

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Solution

The fourth proportional to 16,416.38, 22,657.22 and 9,345.08 is: 12,897.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,416.38 : 22,657.22 = 9,345.08 : x
  2. Step 2: Convert to fraction form
    16,416.38/22,657.22 = 9,345.08/x
  3. Step 3: Cross multiply
    16,416.38x = 22,657.22 × 9,345.08
  4. Step 4: Simplify right side
    16,416.38x = 211,733,533.48
  5. Step 5: Solve for x
    x = 211,733,533.48/16,416.38
  6. Step 6: Final answer
    x = 12,897.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.