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Finding the Fourth Proportional to 13,567.29, 18,722.95 and 7,598.96

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Solution

The fourth proportional to 13,567.29, 18,722.95 and 7,598.96 is: 10,486.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,567.29 : 18,722.95 = 7,598.96 : x
  2. Step 2: Convert to fraction form
    13,567.29/18,722.95 = 7,598.96/x
  3. Step 3: Cross multiply
    13,567.29x = 18,722.95 × 7,598.96
  4. Step 4: Simplify right side
    13,567.29x = 142,274,948.13
  5. Step 5: Solve for x
    x = 142,274,948.13/13,567.29
  6. Step 6: Final answer
    x = 10,486.62

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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.