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Finding the Fourth Proportional to 21,389.76, 32,085.14 and 7,349.67

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Solution

The fourth proportional to 21,389.76, 32,085.14 and 7,349.67 is: 11,024.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,389.76 : 32,085.14 = 7,349.67 : x
  2. Step 2: Convert to fraction form
    21,389.76/32,085.14 = 7,349.67/x
  3. Step 3: Cross multiply
    21,389.76x = 32,085.14 × 7,349.67
  4. Step 4: Simplify right side
    21,389.76x = 235,815,154.16
  5. Step 5: Solve for x
    x = 235,815,154.16/21,389.76
  6. Step 6: Final answer
    x = 11,024.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.