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Finding the Fourth Proportional to 13,526.24, 18,667.08 and 7,558.16

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Solution

The fourth proportional to 13,526.24, 18,667.08 and 7,558.16 is: 10,430.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,526.24 : 18,667.08 = 7,558.16 : x
  2. Step 2: Convert to fraction form
    13,526.24/18,667.08 = 7,558.16/x
  3. Step 3: Cross multiply
    13,526.24x = 18,667.08 × 7,558.16
  4. Step 4: Simplify right side
    13,526.24x = 141,088,684.04
  5. Step 5: Solve for x
    x = 141,088,684.04/13,526.24
  6. Step 6: Final answer
    x = 10,430.74

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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.