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Finding the Fourth Proportional to 22,486.66, 31,032.63 and 12,416.53

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Solution

The fourth proportional to 22,486.66, 31,032.63 and 12,416.53 is: 17,135.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,486.66 : 31,032.63 = 12,416.53 : x
  2. Step 2: Convert to fraction form
    22,486.66/31,032.63 = 12,416.53/x
  3. Step 3: Cross multiply
    22,486.66x = 31,032.63 × 12,416.53
  4. Step 4: Simplify right side
    22,486.66x = 385,317,364.13
  5. Step 5: Solve for x
    x = 385,317,364.13/22,486.66
  6. Step 6: Final answer
    x = 17,135.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.