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Finding the Fourth Proportional to 16,411.52, 22,649.64 and 9,339.32

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Solution

The fourth proportional to 16,411.52, 22,649.64 and 9,339.32 is: 12,889.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,411.52 : 22,649.64 = 9,339.32 : x
  2. Step 2: Convert to fraction form
    16,411.52/22,649.64 = 9,339.32/x
  3. Step 3: Cross multiply
    16,411.52x = 22,649.64 × 9,339.32
  4. Step 4: Simplify right side
    16,411.52x = 211,532,235.84
  5. Step 5: Solve for x
    x = 211,532,235.84/16,411.52
  6. Step 6: Final answer
    x = 12,889.25

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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.