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Finding the Fourth Proportional to 19,633.52, 29,438.76 and 9,254

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Solution

The fourth proportional to 19,633.52, 29,438.76 and 9,254 is: 13,875.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,633.52 : 29,438.76 = 9,254 : x
  2. Step 2: Convert to fraction form
    19,633.52/29,438.76 = 9,254/x
  3. Step 3: Cross multiply
    19,633.52x = 29,438.76 × 9,254
  4. Step 4: Simplify right side
    19,633.52x = 272,426,285.04
  5. Step 5: Solve for x
    x = 272,426,285.04/19,633.52
  6. Step 6: Final answer
    x = 13,875.57

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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.