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Finding the Fourth Proportional to 21,065.95, 31,599.59 and 9,213.63

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Solution

The fourth proportional to 21,065.95, 31,599.59 and 9,213.63 is: 13,820.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,065.95 : 31,599.59 = 9,213.63 : x
  2. Step 2: Convert to fraction form
    21,065.95/31,599.59 = 9,213.63/x
  3. Step 3: Cross multiply
    21,065.95x = 31,599.59 × 9,213.63
  4. Step 4: Simplify right side
    21,065.95x = 291,146,930.41
  5. Step 5: Solve for x
    x = 291,146,930.41/21,065.95
  6. Step 6: Final answer
    x = 13,820.74

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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.