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Finding the Fourth Proportional to 28,232, 38,960.38 and 15,656.76

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Solution

The fourth proportional to 28,232, 38,960.38 and 15,656.76 is: 21,606.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,232 : 38,960.38 = 15,656.76 : x
  2. Step 2: Convert to fraction form
    28,232/38,960.38 = 15,656.76/x
  3. Step 3: Cross multiply
    28,232x = 38,960.38 × 15,656.76
  4. Step 4: Simplify right side
    28,232x = 609,993,319.17
  5. Step 5: Solve for x
    x = 609,993,319.17/28,232
  6. Step 6: Final answer
    x = 21,606.45

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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.