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Finding the Fourth Proportional to 12,307.34, 16,984.18 and 7,002.05

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Solution

The fourth proportional to 12,307.34, 16,984.18 and 7,002.05 is: 9,662.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,307.34 : 16,984.18 = 7,002.05 : x
  2. Step 2: Convert to fraction form
    12,307.34/16,984.18 = 7,002.05/x
  3. Step 3: Cross multiply
    12,307.34x = 16,984.18 × 7,002.05
  4. Step 4: Simplify right side
    12,307.34x = 118,924,001.40
  5. Step 5: Solve for x
    x = 118,924,001.40/12,307.34
  6. Step 6: Final answer
    x = 9,662.85

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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.