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Finding the Fourth Proportional to 14,518.23, 21,762.64 and 9,838.71

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Solution

The fourth proportional to 14,518.23, 21,762.64 and 9,838.71 is: 14,748.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,518.23 : 21,762.64 = 9,838.71 : x
  2. Step 2: Convert to fraction form
    14,518.23/21,762.64 = 9,838.71/x
  3. Step 3: Cross multiply
    14,518.23x = 21,762.64 × 9,838.71
  4. Step 4: Simplify right side
    14,518.23x = 214,116,279.20
  5. Step 5: Solve for x
    x = 214,116,279.20/14,518.23
  6. Step 6: Final answer
    x = 14,748.10

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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.