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Finding the Fourth Proportional to 25,135, 34,683.68 and 14,528.06

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Solution

The fourth proportional to 25,135, 34,683.68 and 14,528.06 is: 20,047.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,135 : 34,683.68 = 14,528.06 : x
  2. Step 2: Convert to fraction form
    25,135/34,683.68 = 14,528.06/x
  3. Step 3: Cross multiply
    25,135x = 34,683.68 × 14,528.06
  4. Step 4: Simplify right side
    25,135x = 503,886,584.06
  5. Step 5: Solve for x
    x = 503,886,584.06/25,135
  6. Step 6: Final answer
    x = 20,047.21

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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.