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Finding the Fourth Proportional to 13,323.70, 19,985.55 and 7,783.30

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Solution

The fourth proportional to 13,323.70, 19,985.55 and 7,783.30 is: 11,674.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,323.70 : 19,985.55 = 7,783.30 : x
  2. Step 2: Convert to fraction form
    13,323.70/19,985.55 = 7,783.30/x
  3. Step 3: Cross multiply
    13,323.70x = 19,985.55 × 7,783.30
  4. Step 4: Simplify right side
    13,323.70x = 155,553,531.32
  5. Step 5: Solve for x
    x = 155,553,531.32/13,323.70
  6. Step 6: Final answer
    x = 11,674.95

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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.