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Finding the Fourth Proportional to 14,701.84, 22,015.80 and 11,417.22

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Solution

The fourth proportional to 14,701.84, 22,015.80 and 11,417.22 is: 17,097.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,701.84 : 22,015.80 = 11,417.22 : x
  2. Step 2: Convert to fraction form
    14,701.84/22,015.80 = 11,417.22/x
  3. Step 3: Cross multiply
    14,701.84x = 22,015.80 × 11,417.22
  4. Step 4: Simplify right side
    14,701.84x = 251,359,232.08
  5. Step 5: Solve for x
    x = 251,359,232.08/14,701.84
  6. Step 6: Final answer
    x = 17,097.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.