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Finding the Fourth Proportional to 25,838.16, 35,657.04 and 14,658

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Solution

The fourth proportional to 25,838.16, 35,657.04 and 14,658 is: 20,228.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,838.16 : 35,657.04 = 14,658 : x
  2. Step 2: Convert to fraction form
    25,838.16/35,657.04 = 14,658/x
  3. Step 3: Cross multiply
    25,838.16x = 35,657.04 × 14,658
  4. Step 4: Simplify right side
    25,838.16x = 522,660,892.32
  5. Step 5: Solve for x
    x = 522,660,892.32/25,838.16
  6. Step 6: Final answer
    x = 20,228.26

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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.