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Finding the Fourth Proportional to 13,705.04, 18,911.88 and 7,738.16

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Solution

The fourth proportional to 13,705.04, 18,911.88 and 7,738.16 is: 10,678.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.04 : 18,911.88 = 7,738.16 : x
  2. Step 2: Convert to fraction form
    13,705.04/18,911.88 = 7,738.16/x
  3. Step 3: Cross multiply
    13,705.04x = 18,911.88 × 7,738.16
  4. Step 4: Simplify right side
    13,705.04x = 146,343,153.34
  5. Step 5: Solve for x
    x = 146,343,153.34/13,705.04
  6. Step 6: Final answer
    x = 10,678.05

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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.