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Finding the Fourth Proportional to 23,970.64, 33,071.52 and 16,009.96

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Solution

The fourth proportional to 23,970.64, 33,071.52 and 16,009.96 is: 22,088.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,970.64 : 33,071.52 = 16,009.96 : x
  2. Step 2: Convert to fraction form
    23,970.64/33,071.52 = 16,009.96/x
  3. Step 3: Cross multiply
    23,970.64x = 33,071.52 × 16,009.96
  4. Step 4: Simplify right side
    23,970.64x = 529,473,712.34
  5. Step 5: Solve for x
    x = 529,473,712.34/23,970.64
  6. Step 6: Final answer
    x = 22,088.43

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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.