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Finding the Fourth Proportional to 16,465, 24,703.04 and 5,222.16

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Solution

The fourth proportional to 16,465, 24,703.04 and 5,222.16 is: 7,835.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,465 : 24,703.04 = 5,222.16 : x
  2. Step 2: Convert to fraction form
    16,465/24,703.04 = 5,222.16/x
  3. Step 3: Cross multiply
    16,465x = 24,703.04 × 5,222.16
  4. Step 4: Simplify right side
    16,465x = 129,003,227.37
  5. Step 5: Solve for x
    x = 129,003,227.37/16,465
  6. Step 6: Final answer
    x = 7,835.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.