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Finding the Fourth Proportional to 24,385.78, 33,655.12 and 13,776.10

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Solution

The fourth proportional to 24,385.78, 33,655.12 and 13,776.10 is: 19,012.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,385.78 : 33,655.12 = 13,776.10 : x
  2. Step 2: Convert to fraction form
    24,385.78/33,655.12 = 13,776.10/x
  3. Step 3: Cross multiply
    24,385.78x = 33,655.12 × 13,776.10
  4. Step 4: Simplify right side
    24,385.78x = 463,636,298.63
  5. Step 5: Solve for x
    x = 463,636,298.63/24,385.78
  6. Step 6: Final answer
    x = 19,012.57

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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.