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Finding the Fourth Proportional to 21,466.10, 29,597.47 and 13,909.67

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Solution

The fourth proportional to 21,466.10, 29,597.47 and 13,909.67 is: 19,178.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,466.10 : 29,597.47 = 13,909.67 : x
  2. Step 2: Convert to fraction form
    21,466.10/29,597.47 = 13,909.67/x
  3. Step 3: Cross multiply
    21,466.10x = 29,597.47 × 13,909.67
  4. Step 4: Simplify right side
    21,466.10x = 411,691,040.53
  5. Step 5: Solve for x
    x = 411,691,040.53/21,466.10
  6. Step 6: Final answer
    x = 19,178.66

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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.