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Finding the Fourth Proportional to 11,830.60, 17,724.30 and 9,627.40

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Solution

The fourth proportional to 11,830.60, 17,724.30 and 9,627.40 is: 14,423.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830.60 : 17,724.30 = 9,627.40 : x
  2. Step 2: Convert to fraction form
    11,830.60/17,724.30 = 9,627.40/x
  3. Step 3: Cross multiply
    11,830.60x = 17,724.30 × 9,627.40
  4. Step 4: Simplify right side
    11,830.60x = 170,638,925.82
  5. Step 5: Solve for x
    x = 170,638,925.82/11,830.60
  6. Step 6: Final answer
    x = 14,423.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.