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Finding the Fourth Proportional to 21,784.86, 30,061.35 and 12,354.30

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Solution

The fourth proportional to 21,784.86, 30,061.35 and 12,354.30 is: 17,047.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,784.86 : 30,061.35 = 12,354.30 : x
  2. Step 2: Convert to fraction form
    21,784.86/30,061.35 = 12,354.30/x
  3. Step 3: Cross multiply
    21,784.86x = 30,061.35 × 12,354.30
  4. Step 4: Simplify right side
    21,784.86x = 371,386,936.31
  5. Step 5: Solve for x
    x = 371,386,936.31/21,784.86
  6. Step 6: Final answer
    x = 17,047.94

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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.