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Finding the Fourth Proportional to 19,770.64, 27,293.52 and 13,430.77

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Solution

The fourth proportional to 19,770.64, 27,293.52 and 13,430.77 is: 18,541.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,770.64 : 27,293.52 = 13,430.77 : x
  2. Step 2: Convert to fraction form
    19,770.64/27,293.52 = 13,430.77/x
  3. Step 3: Cross multiply
    19,770.64x = 27,293.52 × 13,430.77
  4. Step 4: Simplify right side
    19,770.64x = 366,572,989.61
  5. Step 5: Solve for x
    x = 366,572,989.61/19,770.64
  6. Step 6: Final answer
    x = 18,541.28

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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.