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Finding the Fourth Proportional to 16,457.08, 24,670.50 and 6,061

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Solution

The fourth proportional to 16,457.08, 24,670.50 and 6,061 is: 9,085.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,457.08 : 24,670.50 = 6,061 : x
  2. Step 2: Convert to fraction form
    16,457.08/24,670.50 = 6,061/x
  3. Step 3: Cross multiply
    16,457.08x = 24,670.50 × 6,061
  4. Step 4: Simplify right side
    16,457.08x = 149,527,900.50
  5. Step 5: Solve for x
    x = 149,527,900.50/16,457.08
  6. Step 6: Final answer
    x = 9,085.93

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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.