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Finding the Fourth Proportional to 13,935, 19,223.70 and 12,343.20

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Solution

The fourth proportional to 13,935, 19,223.70 and 12,343.20 is: 17,027.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,935 : 19,223.70 = 12,343.20 : x
  2. Step 2: Convert to fraction form
    13,935/19,223.70 = 12,343.20/x
  3. Step 3: Cross multiply
    13,935x = 19,223.70 × 12,343.20
  4. Step 4: Simplify right side
    13,935x = 237,281,973.84
  5. Step 5: Solve for x
    x = 237,281,973.84/13,935
  6. Step 6: Final answer
    x = 17,027.77

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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.