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Finding the Fourth Proportional to 23,032.50, 31,784.98 and 12,961.11

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Solution

The fourth proportional to 23,032.50, 31,784.98 and 12,961.11 is: 17,886.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,032.50 : 31,784.98 = 12,961.11 : x
  2. Step 2: Convert to fraction form
    23,032.50/31,784.98 = 12,961.11/x
  3. Step 3: Cross multiply
    23,032.50x = 31,784.98 × 12,961.11
  4. Step 4: Simplify right side
    23,032.50x = 411,968,622.13
  5. Step 5: Solve for x
    x = 411,968,622.13/23,032.50
  6. Step 6: Final answer
    x = 17,886.40

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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.