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Finding the Fourth Proportional to 14,606.16, 21,909.24 and 11,690.16

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Solution

The fourth proportional to 14,606.16, 21,909.24 and 11,690.16 is: 17,535.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,606.16 : 21,909.24 = 11,690.16 : x
  2. Step 2: Convert to fraction form
    14,606.16/21,909.24 = 11,690.16/x
  3. Step 3: Cross multiply
    14,606.16x = 21,909.24 × 11,690.16
  4. Step 4: Simplify right side
    14,606.16x = 256,122,521.08
  5. Step 5: Solve for x
    x = 256,122,521.08/14,606.16
  6. Step 6: Final answer
    x = 17,535.24

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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.