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Finding the Fourth Proportional to 16,089.71, 22,203.80 and 9,802.08

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Solution

The fourth proportional to 16,089.71, 22,203.80 and 9,802.08 is: 13,526.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,089.71 : 22,203.80 = 9,802.08 : x
  2. Step 2: Convert to fraction form
    16,089.71/22,203.80 = 9,802.08/x
  3. Step 3: Cross multiply
    16,089.71x = 22,203.80 × 9,802.08
  4. Step 4: Simplify right side
    16,089.71x = 217,643,423.90
  5. Step 5: Solve for x
    x = 217,643,423.90/16,089.71
  6. Step 6: Final answer
    x = 13,526.87

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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.