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Finding the Fourth Proportional to 16,582.48, 22,881.48 and 9,509.20

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Solution

The fourth proportional to 16,582.48, 22,881.48 and 9,509.20 is: 13,121.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,582.48 : 22,881.48 = 9,509.20 : x
  2. Step 2: Convert to fraction form
    16,582.48/22,881.48 = 9,509.20/x
  3. Step 3: Cross multiply
    16,582.48x = 22,881.48 × 9,509.20
  4. Step 4: Simplify right side
    16,582.48x = 217,584,569.62
  5. Step 5: Solve for x
    x = 217,584,569.62/16,582.48
  6. Step 6: Final answer
    x = 13,121.35

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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.