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Finding the Fourth Proportional to 13,993.84, 19,312.59 and 7,707.34

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Solution

The fourth proportional to 13,993.84, 19,312.59 and 7,707.34 is: 10,636.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,993.84 : 19,312.59 = 7,707.34 : x
  2. Step 2: Convert to fraction form
    13,993.84/19,312.59 = 7,707.34/x
  3. Step 3: Cross multiply
    13,993.84x = 19,312.59 × 7,707.34
  4. Step 4: Simplify right side
    13,993.84x = 148,848,697.41
  5. Step 5: Solve for x
    x = 148,848,697.41/13,993.84
  6. Step 6: Final answer
    x = 10,636.73

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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.