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Finding the Fourth Proportional to 13,590.47, 18,746.21 and 9,819.18

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Solution

The fourth proportional to 13,590.47, 18,746.21 and 9,819.18 is: 13,544.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,590.47 : 18,746.21 = 9,819.18 : x
  2. Step 2: Convert to fraction form
    13,590.47/18,746.21 = 9,819.18/x
  3. Step 3: Cross multiply
    13,590.47x = 18,746.21 × 9,819.18
  4. Step 4: Simplify right side
    13,590.47x = 184,072,361.21
  5. Step 5: Solve for x
    x = 184,072,361.21/13,590.47
  6. Step 6: Final answer
    x = 13,544.23

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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.