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Finding the Fourth Proportional to 24,301, 36,457.98 and 11,989

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Solution

The fourth proportional to 24,301, 36,457.98 and 11,989 is: 17,986.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,301 : 36,457.98 = 11,989 : x
  2. Step 2: Convert to fraction form
    24,301/36,457.98 = 11,989/x
  3. Step 3: Cross multiply
    24,301x = 36,457.98 × 11,989
  4. Step 4: Simplify right side
    24,301x = 437,094,722.22
  5. Step 5: Solve for x
    x = 437,094,722.22/24,301
  6. Step 6: Final answer
    x = 17,986.70

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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.