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Finding the Fourth Proportional to 24,533.64, 33,851.80 and 14,465.24

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Solution

The fourth proportional to 24,533.64, 33,851.80 and 14,465.24 is: 19,959.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,533.64 : 33,851.80 = 14,465.24 : x
  2. Step 2: Convert to fraction form
    24,533.64/33,851.80 = 14,465.24/x
  3. Step 3: Cross multiply
    24,533.64x = 33,851.80 × 14,465.24
  4. Step 4: Simplify right side
    24,533.64x = 489,674,411.43
  5. Step 5: Solve for x
    x = 489,674,411.43/24,533.64
  6. Step 6: Final answer
    x = 19,959.31

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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.