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Finding the Fourth Proportional to 22,307.34, 30,783.88 and 12,098.22

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Solution

The fourth proportional to 22,307.34, 30,783.88 and 12,098.22 is: 16,695.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,307.34 : 30,783.88 = 12,098.22 : x
  2. Step 2: Convert to fraction form
    22,307.34/30,783.88 = 12,098.22/x
  3. Step 3: Cross multiply
    22,307.34x = 30,783.88 × 12,098.22
  4. Step 4: Simplify right side
    22,307.34x = 372,430,152.69
  5. Step 5: Solve for x
    x = 372,430,152.69/22,307.34
  6. Step 6: Final answer
    x = 16,695.41

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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.