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Finding the Fourth Proportional to 13,564.70, 18,711.48 and 9,783.62

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Solution

The fourth proportional to 13,564.70, 18,711.48 and 9,783.62 is: 13,495.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,564.70 : 18,711.48 = 9,783.62 : x
  2. Step 2: Convert to fraction form
    13,564.70/18,711.48 = 9,783.62/x
  3. Step 3: Cross multiply
    13,564.70x = 18,711.48 × 9,783.62
  4. Step 4: Simplify right side
    13,564.70x = 183,066,009.96
  5. Step 5: Solve for x
    x = 183,066,009.96/13,564.70
  6. Step 6: Final answer
    x = 13,495.77

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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.