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Finding the Fourth Proportional to 13,089.34, 19,637.04 and 6,852.74

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Solution

The fourth proportional to 13,089.34, 19,637.04 and 6,852.74 is: 10,280.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,089.34 : 19,637.04 = 6,852.74 : x
  2. Step 2: Convert to fraction form
    13,089.34/19,637.04 = 6,852.74/x
  3. Step 3: Cross multiply
    13,089.34x = 19,637.04 × 6,852.74
  4. Step 4: Simplify right side
    13,089.34x = 134,567,529.49
  5. Step 5: Solve for x
    x = 134,567,529.49/13,089.34
  6. Step 6: Final answer
    x = 10,280.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.