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Finding the Fourth Proportional to 12,542.34, 17,307.93 and 7,503.60

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Solution

The fourth proportional to 12,542.34, 17,307.93 and 7,503.60 is: 10,354.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,542.34 : 17,307.93 = 7,503.60 : x
  2. Step 2: Convert to fraction form
    12,542.34/17,307.93 = 7,503.60/x
  3. Step 3: Cross multiply
    12,542.34x = 17,307.93 × 7,503.60
  4. Step 4: Simplify right side
    12,542.34x = 129,871,783.55
  5. Step 5: Solve for x
    x = 129,871,783.55/12,542.34
  6. Step 6: Final answer
    x = 10,354.67

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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.