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Finding the Fourth Proportional to 13,638.48, 18,821.64 and 7,670.40

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Solution

The fourth proportional to 13,638.48, 18,821.64 and 7,670.40 is: 10,585.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,638.48 : 18,821.64 = 7,670.40 : x
  2. Step 2: Convert to fraction form
    13,638.48/18,821.64 = 7,670.40/x
  3. Step 3: Cross multiply
    13,638.48x = 18,821.64 × 7,670.40
  4. Step 4: Simplify right side
    13,638.48x = 144,369,507.46
  5. Step 5: Solve for x
    x = 144,369,507.46/13,638.48
  6. Step 6: Final answer
    x = 10,585.45

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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.