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Finding the Fourth Proportional to 25,690.72, 38,509.81 and 14,573.93

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Solution

The fourth proportional to 25,690.72, 38,509.81 and 14,573.93 is: 21,845.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,690.72 : 38,509.81 = 14,573.93 : x
  2. Step 2: Convert to fraction form
    25,690.72/38,509.81 = 14,573.93/x
  3. Step 3: Cross multiply
    25,690.72x = 38,509.81 × 14,573.93
  4. Step 4: Simplify right side
    25,690.72x = 561,239,128.25
  5. Step 5: Solve for x
    x = 561,239,128.25/25,690.72
  6. Step 6: Final answer
    x = 21,845.99

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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.