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Finding the Fourth Proportional to 29,610, 44,415 and 9,884.07

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Solution

The fourth proportional to 29,610, 44,415 and 9,884.07 is: 14,826.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,610 : 44,415 = 9,884.07 : x
  2. Step 2: Convert to fraction form
    29,610/44,415 = 9,884.07/x
  3. Step 3: Cross multiply
    29,610x = 44,415 × 9,884.07
  4. Step 4: Simplify right side
    29,610x = 439,000,969.05
  5. Step 5: Solve for x
    x = 439,000,969.05/29,610
  6. Step 6: Final answer
    x = 14,826.11

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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.