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Finding the Fourth Proportional to 25,758.41, 35,549.55 and 14,430.96

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Solution

The fourth proportional to 25,758.41, 35,549.55 and 14,430.96 is: 19,916.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,758.41 : 35,549.55 = 14,430.96 : x
  2. Step 2: Convert to fraction form
    25,758.41/35,549.55 = 14,430.96/x
  3. Step 3: Cross multiply
    25,758.41x = 35,549.55 × 14,430.96
  4. Step 4: Simplify right side
    25,758.41x = 513,014,134.07
  5. Step 5: Solve for x
    x = 513,014,134.07/25,758.41
  6. Step 6: Final answer
    x = 19,916.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.