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Finding the Fourth Proportional to 16,529.50, 22,810.71 and 9,077.50

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Solution

The fourth proportional to 16,529.50, 22,810.71 and 9,077.50 is: 12,526.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,529.50 : 22,810.71 = 9,077.50 : x
  2. Step 2: Convert to fraction form
    16,529.50/22,810.71 = 9,077.50/x
  3. Step 3: Cross multiply
    16,529.50x = 22,810.71 × 9,077.50
  4. Step 4: Simplify right side
    16,529.50x = 207,064,220.03
  5. Step 5: Solve for x
    x = 207,064,220.03/16,529.50
  6. Step 6: Final answer
    x = 12,526.95

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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.