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Finding the Fourth Proportional to 13,235.64, 18,266.63 and 7,570.90

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Solution

The fourth proportional to 13,235.64, 18,266.63 and 7,570.90 is: 10,448.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,235.64 : 18,266.63 = 7,570.90 : x
  2. Step 2: Convert to fraction form
    13,235.64/18,266.63 = 7,570.90/x
  3. Step 3: Cross multiply
    13,235.64x = 18,266.63 × 7,570.90
  4. Step 4: Simplify right side
    13,235.64x = 138,294,829.07
  5. Step 5: Solve for x
    x = 138,294,829.07/13,235.64
  6. Step 6: Final answer
    x = 10,448.67

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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.