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Finding the Fourth Proportional to 24,294.36, 36,457.97 and 9,501.44

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Solution

The fourth proportional to 24,294.36, 36,457.97 and 9,501.44 is: 14,258.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,294.36 : 36,457.97 = 9,501.44 : x
  2. Step 2: Convert to fraction form
    24,294.36/36,457.97 = 9,501.44/x
  3. Step 3: Cross multiply
    24,294.36x = 36,457.97 × 9,501.44
  4. Step 4: Simplify right side
    24,294.36x = 346,402,984.68
  5. Step 5: Solve for x
    x = 346,402,984.68/24,294.36
  6. Step 6: Final answer
    x = 14,258.57

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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.