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Finding the Fourth Proportional to 14,416.17, 19,894.91 and 9,109.05

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Solution

The fourth proportional to 14,416.17, 19,894.91 and 9,109.05 is: 12,570.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,416.17 : 19,894.91 = 9,109.05 : x
  2. Step 2: Convert to fraction form
    14,416.17/19,894.91 = 9,109.05/x
  3. Step 3: Cross multiply
    14,416.17x = 19,894.91 × 9,109.05
  4. Step 4: Simplify right side
    14,416.17x = 181,223,684.39
  5. Step 5: Solve for x
    x = 181,223,684.39/14,416.17
  6. Step 6: Final answer
    x = 12,570.86

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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.