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Finding the Fourth Proportional to 25,684, 35,444.32 and 14,506.08

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Solution

The fourth proportional to 25,684, 35,444.32 and 14,506.08 is: 20,018.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,684 : 35,444.32 = 14,506.08 : x
  2. Step 2: Convert to fraction form
    25,684/35,444.32 = 14,506.08/x
  3. Step 3: Cross multiply
    25,684x = 35,444.32 × 14,506.08
  4. Step 4: Simplify right side
    25,684x = 514,158,141.47
  5. Step 5: Solve for x
    x = 514,158,141.47/25,684
  6. Step 6: Final answer
    x = 20,018.62

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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.