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Finding the Fourth Proportional to 25,586.74, 35,309.64 and 14,978.38

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Solution

The fourth proportional to 25,586.74, 35,309.64 and 14,978.38 is: 20,670.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,586.74 : 35,309.64 = 14,978.38 : x
  2. Step 2: Convert to fraction form
    25,586.74/35,309.64 = 14,978.38/x
  3. Step 3: Cross multiply
    25,586.74x = 35,309.64 × 14,978.38
  4. Step 4: Simplify right side
    25,586.74x = 528,881,205.58
  5. Step 5: Solve for x
    x = 528,881,205.58/25,586.74
  6. Step 6: Final answer
    x = 20,670.13

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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.