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Finding the Fourth Proportional to 16,465.65, 24,656.40 and 9,061.98

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Solution

The fourth proportional to 16,465.65, 24,656.40 and 9,061.98 is: 13,569.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,465.65 : 24,656.40 = 9,061.98 : x
  2. Step 2: Convert to fraction form
    16,465.65/24,656.40 = 9,061.98/x
  3. Step 3: Cross multiply
    16,465.65x = 24,656.40 × 9,061.98
  4. Step 4: Simplify right side
    16,465.65x = 223,435,803.67
  5. Step 5: Solve for x
    x = 223,435,803.67/16,465.65
  6. Step 6: Final answer
    x = 13,569.81

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Why These Related Problems?

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