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Finding the Fourth Proportional to 21,509.35, 29,677.71 and 12,551.74

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Solution

The fourth proportional to 21,509.35, 29,677.71 and 12,551.74 is: 17,318.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,509.35 : 29,677.71 = 12,551.74 : x
  2. Step 2: Convert to fraction form
    21,509.35/29,677.71 = 12,551.74/x
  3. Step 3: Cross multiply
    21,509.35x = 29,677.71 × 12,551.74
  4. Step 4: Simplify right side
    21,509.35x = 372,506,899.72
  5. Step 5: Solve for x
    x = 372,506,899.72/21,509.35
  6. Step 6: Final answer
    x = 17,318.37

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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.