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Finding the Fourth Proportional to 21,970.94, 30,314.66 and 12,411.02

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Solution

The fourth proportional to 21,970.94, 30,314.66 and 12,411.02 is: 17,124.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,970.94 : 30,314.66 = 12,411.02 : x
  2. Step 2: Convert to fraction form
    21,970.94/30,314.66 = 12,411.02/x
  3. Step 3: Cross multiply
    21,970.94x = 30,314.66 × 12,411.02
  4. Step 4: Simplify right side
    21,970.94x = 376,235,851.55
  5. Step 5: Solve for x
    x = 376,235,851.55/21,970.94
  6. Step 6: Final answer
    x = 17,124.25

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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.