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Finding the Fourth Proportional to 16,200.16, 22,355.65 and 9,827.48

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Solution

The fourth proportional to 16,200.16, 22,355.65 and 9,827.48 is: 13,561.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,200.16 : 22,355.65 = 9,827.48 : x
  2. Step 2: Convert to fraction form
    16,200.16/22,355.65 = 9,827.48/x
  3. Step 3: Cross multiply
    16,200.16x = 22,355.65 × 9,827.48
  4. Step 4: Simplify right side
    16,200.16x = 219,699,703.26
  5. Step 5: Solve for x
    x = 219,699,703.26/16,200.16
  6. Step 6: Final answer
    x = 13,561.58

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1.5x scale

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.