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Finding the Fourth Proportional to 16,526.71, 22,803.29 and 9,814.59

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Solution

The fourth proportional to 16,526.71, 22,803.29 and 9,814.59 is: 13,542.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,526.71 : 22,803.29 = 9,814.59 : x
  2. Step 2: Convert to fraction form
    16,526.71/22,803.29 = 9,814.59/x
  3. Step 3: Cross multiply
    16,526.71x = 22,803.29 × 9,814.59
  4. Step 4: Simplify right side
    16,526.71x = 223,804,995.04
  5. Step 5: Solve for x
    x = 223,804,995.04/16,526.71
  6. Step 6: Final answer
    x = 13,542.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.