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Finding the Fourth Proportional to 22,783.32, 31,430.70 and 13,347.90

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Solution

The fourth proportional to 22,783.32, 31,430.70 and 13,347.90 is: 18,414.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,783.32 : 31,430.70 = 13,347.90 : x
  2. Step 2: Convert to fraction form
    22,783.32/31,430.70 = 13,347.90/x
  3. Step 3: Cross multiply
    22,783.32x = 31,430.70 × 13,347.90
  4. Step 4: Simplify right side
    22,783.32x = 419,533,840.53
  5. Step 5: Solve for x
    x = 419,533,840.53/22,783.32
  6. Step 6: Final answer
    x = 18,414.08

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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.