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Finding the Fourth Proportional to 29,976.16, 44,970.64 and 11,508

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Solution

The fourth proportional to 29,976.16, 44,970.64 and 11,508 is: 17,264.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,976.16 : 44,970.64 = 11,508 : x
  2. Step 2: Convert to fraction form
    29,976.16/44,970.64 = 11,508/x
  3. Step 3: Cross multiply
    29,976.16x = 44,970.64 × 11,508
  4. Step 4: Simplify right side
    29,976.16x = 517,522,125.12
  5. Step 5: Solve for x
    x = 517,522,125.12/29,976.16
  6. Step 6: Final answer
    x = 17,264.46

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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.