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Finding the Fourth Proportional to 23,027.76, 31,776.04 and 12,955.98

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Solution

The fourth proportional to 23,027.76, 31,776.04 and 12,955.98 is: 17,877.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,027.76 : 31,776.04 = 12,955.98 : x
  2. Step 2: Convert to fraction form
    23,027.76/31,776.04 = 12,955.98/x
  3. Step 3: Cross multiply
    23,027.76x = 31,776.04 × 12,955.98
  4. Step 4: Simplify right side
    23,027.76x = 411,689,809.00
  5. Step 5: Solve for x
    x = 411,689,809.00/23,027.76
  6. Step 6: Final answer
    x = 17,877.98

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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.