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Finding the Fourth Proportional to 24,416.24, 33,683.04 and 14,341.46

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Solution

The fourth proportional to 24,416.24, 33,683.04 and 14,341.46 is: 19,784.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,416.24 : 33,683.04 = 14,341.46 : x
  2. Step 2: Convert to fraction form
    24,416.24/33,683.04 = 14,341.46/x
  3. Step 3: Cross multiply
    24,416.24x = 33,683.04 × 14,341.46
  4. Step 4: Simplify right side
    24,416.24x = 483,063,802.42
  5. Step 5: Solve for x
    x = 483,063,802.42/24,416.24
  6. Step 6: Final answer
    x = 19,784.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.