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Finding the Fourth Proportional to 22,484.16, 31,029.14 and 12,927.14

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Solution

The fourth proportional to 22,484.16, 31,029.14 and 12,927.14 is: 17,840.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,484.16 : 31,029.14 = 12,927.14 : x
  2. Step 2: Convert to fraction form
    22,484.16/31,029.14 = 12,927.14/x
  3. Step 3: Cross multiply
    22,484.16x = 31,029.14 × 12,927.14
  4. Step 4: Simplify right side
    22,484.16x = 401,117,972.22
  5. Step 5: Solve for x
    x = 401,117,972.22/22,484.16
  6. Step 6: Final answer
    x = 17,840.03

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1.5x scale

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.