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Finding the Fourth Proportional to 16,457.04, 24,678 and 6,061.50

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Solution

The fourth proportional to 16,457.04, 24,678 and 6,061.50 is: 9,089.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,457.04 : 24,678 = 6,061.50 : x
  2. Step 2: Convert to fraction form
    16,457.04/24,678 = 6,061.50/x
  3. Step 3: Cross multiply
    16,457.04x = 24,678 × 6,061.50
  4. Step 4: Simplify right side
    16,457.04x = 149,585,697
  5. Step 5: Solve for x
    x = 149,585,697/16,457.04
  6. Step 6: Final answer
    x = 9,089.47

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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.