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Finding the Fourth Proportional to 21,146.88, 31,666.74 and 12,708.36

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Solution

The fourth proportional to 21,146.88, 31,666.74 and 12,708.36 is: 19,030.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,146.88 : 31,666.74 = 12,708.36 : x
  2. Step 2: Convert to fraction form
    21,146.88/31,666.74 = 12,708.36/x
  3. Step 3: Cross multiply
    21,146.88x = 31,666.74 × 12,708.36
  4. Step 4: Simplify right side
    21,146.88x = 402,432,331.95
  5. Step 5: Solve for x
    x = 402,432,331.95/21,146.88
  6. Step 6: Final answer
    x = 19,030.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.