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Finding the Fourth Proportional to 25,444.38, 35,113.48 and 14,114.01

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Solution

The fourth proportional to 25,444.38, 35,113.48 and 14,114.01 is: 19,477.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,444.38 : 35,113.48 = 14,114.01 : x
  2. Step 2: Convert to fraction form
    25,444.38/35,113.48 = 14,114.01/x
  3. Step 3: Cross multiply
    25,444.38x = 35,113.48 × 14,114.01
  4. Step 4: Simplify right side
    25,444.38x = 495,592,005.73
  5. Step 5: Solve for x
    x = 495,592,005.73/25,444.38
  6. Step 6: Final answer
    x = 19,477.47

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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.