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Finding the Fourth Proportional to 17,454.90, 24,088.21 and 9,899.77

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Solution

The fourth proportional to 17,454.90, 24,088.21 and 9,899.77 is: 13,661.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,454.90 : 24,088.21 = 9,899.77 : x
  2. Step 2: Convert to fraction form
    17,454.90/24,088.21 = 9,899.77/x
  3. Step 3: Cross multiply
    17,454.90x = 24,088.21 × 9,899.77
  4. Step 4: Simplify right side
    17,454.90x = 238,467,738.71
  5. Step 5: Solve for x
    x = 238,467,738.71/17,454.90
  6. Step 6: Final answer
    x = 13,661.94

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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.