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Finding the Fourth Proportional to 20,938.64, 28,894.95 and 11,507.00

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Solution

The fourth proportional to 20,938.64, 28,894.95 and 11,507.00 is: 15,879.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,938.64 : 28,894.95 = 11,507.00 : x
  2. Step 2: Convert to fraction form
    20,938.64/28,894.95 = 11,507.00/x
  3. Step 3: Cross multiply
    20,938.64x = 28,894.95 × 11,507.00
  4. Step 4: Simplify right side
    20,938.64x = 332,494,045.18
  5. Step 5: Solve for x
    x = 332,494,045.18/20,938.64
  6. Step 6: Final answer
    x = 15,879.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.