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Finding the Fourth Proportional to 27,307.40, 40,970.95 and 9,540.70

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Solution

The fourth proportional to 27,307.40, 40,970.95 and 9,540.70 is: 14,314.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,307.40 : 40,970.95 = 9,540.70 : x
  2. Step 2: Convert to fraction form
    27,307.40/40,970.95 = 9,540.70/x
  3. Step 3: Cross multiply
    27,307.40x = 40,970.95 × 9,540.70
  4. Step 4: Simplify right side
    27,307.40x = 390,891,416.39
  5. Step 5: Solve for x
    x = 390,891,416.39/27,307.40
  6. Step 6: Final answer
    x = 14,314.49

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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.