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Finding the Fourth Proportional to 24,408, 33,688.08 and 13,798.08

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Solution

The fourth proportional to 24,408, 33,688.08 and 13,798.08 is: 19,044.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,408 : 33,688.08 = 13,798.08 : x
  2. Step 2: Convert to fraction form
    24,408/33,688.08 = 13,798.08/x
  3. Step 3: Cross multiply
    24,408x = 33,688.08 × 13,798.08
  4. Step 4: Simplify right side
    24,408x = 464,830,822.89
  5. Step 5: Solve for x
    x = 464,830,822.89/24,408
  6. Step 6: Final answer
    x = 19,044.20

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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.