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Finding the Fourth Proportional to 22,670.34, 31,284.54 and 12,598.26

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Solution

The fourth proportional to 22,670.34, 31,284.54 and 12,598.26 is: 17,385.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,670.34 : 31,284.54 = 12,598.26 : x
  2. Step 2: Convert to fraction form
    22,670.34/31,284.54 = 12,598.26/x
  3. Step 3: Cross multiply
    22,670.34x = 31,284.54 × 12,598.26
  4. Step 4: Simplify right side
    22,670.34x = 394,130,768.90
  5. Step 5: Solve for x
    x = 394,130,768.90/22,670.34
  6. Step 6: Final answer
    x = 17,385.30

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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.