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Finding the Fourth Proportional to 13,594.84, 20,365.72 and 9,368.14

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Solution

The fourth proportional to 13,594.84, 20,365.72 and 9,368.14 is: 14,033.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,594.84 : 20,365.72 = 9,368.14 : x
  2. Step 2: Convert to fraction form
    13,594.84/20,365.72 = 9,368.14/x
  3. Step 3: Cross multiply
    13,594.84x = 20,365.72 × 9,368.14
  4. Step 4: Simplify right side
    13,594.84x = 190,788,916.16
  5. Step 5: Solve for x
    x = 190,788,916.16/13,594.84
  6. Step 6: Final answer
    x = 14,033.92

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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.