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Finding the Fourth Proportional to 28,138, 38,831.66 and 15,562.76

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Solution

The fourth proportional to 28,138, 38,831.66 and 15,562.76 is: 21,477.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,138 : 38,831.66 = 15,562.76 : x
  2. Step 2: Convert to fraction form
    28,138/38,831.66 = 15,562.76/x
  3. Step 3: Cross multiply
    28,138x = 38,831.66 × 15,562.76
  4. Step 4: Simplify right side
    28,138x = 604,327,804.98
  5. Step 5: Solve for x
    x = 604,327,804.98/28,138
  6. Step 6: Final answer
    x = 21,477.28

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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.