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Finding the Fourth Proportional to 22,773.79, 31,430.10 and 13,820.59

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Solution

The fourth proportional to 22,773.79, 31,430.10 and 13,820.59 is: 19,073.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,773.79 : 31,430.10 = 13,820.59 : x
  2. Step 2: Convert to fraction form
    22,773.79/31,430.10 = 13,820.59/x
  3. Step 3: Cross multiply
    22,773.79x = 31,430.10 × 13,820.59
  4. Step 4: Simplify right side
    22,773.79x = 434,382,525.76
  5. Step 5: Solve for x
    x = 434,382,525.76/22,773.79
  6. Step 6: Final answer
    x = 19,073.79

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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.