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Finding the Fourth Proportional to 29,973.16, 44,966.14 and 11,505

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Solution

The fourth proportional to 29,973.16, 44,966.14 and 11,505 is: 17,259.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,973.16 : 44,966.14 = 11,505 : x
  2. Step 2: Convert to fraction form
    29,973.16/44,966.14 = 11,505/x
  3. Step 3: Cross multiply
    29,973.16x = 44,966.14 × 11,505
  4. Step 4: Simplify right side
    29,973.16x = 517,335,440.70
  5. Step 5: Solve for x
    x = 517,335,440.70/29,973.16
  6. Step 6: Final answer
    x = 17,259.96

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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.