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Finding the Fourth Proportional to 14,084.57, 19,442.99 and 9,307.49

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Solution

The fourth proportional to 14,084.57, 19,442.99 and 9,307.49 is: 12,848.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,084.57 : 19,442.99 = 9,307.49 : x
  2. Step 2: Convert to fraction form
    14,084.57/19,442.99 = 9,307.49/x
  3. Step 3: Cross multiply
    14,084.57x = 19,442.99 × 9,307.49
  4. Step 4: Simplify right side
    14,084.57x = 180,965,291.24
  5. Step 5: Solve for x
    x = 180,965,291.24/14,084.57
  6. Step 6: Final answer
    x = 12,848.48

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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.