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Finding the Fourth Proportional to 23,056.88, 31,819.08 and 12,985.64

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Solution

The fourth proportional to 23,056.88, 31,819.08 and 12,985.64 is: 17,920.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,056.88 : 31,819.08 = 12,985.64 : x
  2. Step 2: Convert to fraction form
    23,056.88/31,819.08 = 12,985.64/x
  3. Step 3: Cross multiply
    23,056.88x = 31,819.08 × 12,985.64
  4. Step 4: Simplify right side
    23,056.88x = 413,191,118.01
  5. Step 5: Solve for x
    x = 413,191,118.01/23,056.88
  6. Step 6: Final answer
    x = 17,920.51

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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.