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Finding the Fourth Proportional to 27,113.40, 40,671.36 and 9,585

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Solution

The fourth proportional to 27,113.40, 40,671.36 and 9,585 is: 14,377.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,113.40 : 40,671.36 = 9,585 : x
  2. Step 2: Convert to fraction form
    27,113.40/40,671.36 = 9,585/x
  3. Step 3: Cross multiply
    27,113.40x = 40,671.36 × 9,585
  4. Step 4: Simplify right side
    27,113.40x = 389,834,985.60
  5. Step 5: Solve for x
    x = 389,834,985.60/27,113.40
  6. Step 6: Final answer
    x = 14,377.95

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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.