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Finding the Fourth Proportional to 16,210.60, 22,364.49 and 10,240

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Solution

The fourth proportional to 16,210.60, 22,364.49 and 10,240 is: 14,127.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,210.60 : 22,364.49 = 10,240 : x
  2. Step 2: Convert to fraction form
    16,210.60/22,364.49 = 10,240/x
  3. Step 3: Cross multiply
    16,210.60x = 22,364.49 × 10,240
  4. Step 4: Simplify right side
    16,210.60x = 229,012,377.60
  5. Step 5: Solve for x
    x = 229,012,377.60/16,210.60
  6. Step 6: Final answer
    x = 14,127.32

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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.