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Finding the Fourth Proportional to 22,530.39, 31,094.19 and 12,459.58

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Solution

The fourth proportional to 22,530.39, 31,094.19 and 12,459.58 is: 17,195.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,530.39 : 31,094.19 = 12,459.58 : x
  2. Step 2: Convert to fraction form
    22,530.39/31,094.19 = 12,459.58/x
  3. Step 3: Cross multiply
    22,530.39x = 31,094.19 × 12,459.58
  4. Step 4: Simplify right side
    22,530.39x = 387,420,547.84
  5. Step 5: Solve for x
    x = 387,420,547.84/22,530.39
  6. Step 6: Final answer
    x = 17,195.47

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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.