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Finding the Fourth Proportional to 13,693.50, 18,897.04 and 7,405.88

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Solution

The fourth proportional to 13,693.50, 18,897.04 and 7,405.88 is: 10,220.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,693.50 : 18,897.04 = 7,405.88 : x
  2. Step 2: Convert to fraction form
    13,693.50/18,897.04 = 7,405.88/x
  3. Step 3: Cross multiply
    13,693.50x = 18,897.04 × 7,405.88
  4. Step 4: Simplify right side
    13,693.50x = 139,949,210.60
  5. Step 5: Solve for x
    x = 139,949,210.60/13,693.50
  6. Step 6: Final answer
    x = 10,220.12

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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.