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Finding the Fourth Proportional to 21,718.76, 29,972 and 12,289.28

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Solution

The fourth proportional to 21,718.76, 29,972 and 12,289.28 is: 16,959.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,718.76 : 29,972 = 12,289.28 : x
  2. Step 2: Convert to fraction form
    21,718.76/29,972 = 12,289.28/x
  3. Step 3: Cross multiply
    21,718.76x = 29,972 × 12,289.28
  4. Step 4: Simplify right side
    21,718.76x = 368,334,300.16
  5. Step 5: Solve for x
    x = 368,334,300.16/21,718.76
  6. Step 6: Final answer
    x = 16,959.27

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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.