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Finding the Fourth Proportional to 16,526, 22,807.10 and 10,239.60

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Solution

The fourth proportional to 16,526, 22,807.10 and 10,239.60 is: 14,131.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,526 : 22,807.10 = 10,239.60 : x
  2. Step 2: Convert to fraction form
    16,526/22,807.10 = 10,239.60/x
  3. Step 3: Cross multiply
    16,526x = 22,807.10 × 10,239.60
  4. Step 4: Simplify right side
    16,526x = 233,535,581.16
  5. Step 5: Solve for x
    x = 233,535,581.16/16,526
  6. Step 6: Final answer
    x = 14,131.40

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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.