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Finding the Fourth Proportional to 29,538.99, 44,298.90 and 9,812.25

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Solution

The fourth proportional to 29,538.99, 44,298.90 and 9,812.25 is: 14,715.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,538.99 : 44,298.90 = 9,812.25 : x
  2. Step 2: Convert to fraction form
    29,538.99/44,298.90 = 9,812.25/x
  3. Step 3: Cross multiply
    29,538.99x = 44,298.90 × 9,812.25
  4. Step 4: Simplify right side
    29,538.99x = 434,671,881.53
  5. Step 5: Solve for x
    x = 434,671,881.53/29,538.99
  6. Step 6: Final answer
    x = 14,715.19

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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.