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Finding the Fourth Proportional to 24,038.76, 33,175.29 and 13,832.93

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Solution

The fourth proportional to 24,038.76, 33,175.29 and 13,832.93 is: 19,090.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,038.76 : 33,175.29 = 13,832.93 : x
  2. Step 2: Convert to fraction form
    24,038.76/33,175.29 = 13,832.93/x
  3. Step 3: Cross multiply
    24,038.76x = 33,175.29 × 13,832.93
  4. Step 4: Simplify right side
    24,038.76x = 458,911,298.42
  5. Step 5: Solve for x
    x = 458,911,298.42/24,038.76
  6. Step 6: Final answer
    x = 19,090.47

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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.