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Finding the Fourth Proportional to 14,509.13, 21,762.54 and 4,645.76

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Solution

The fourth proportional to 14,509.13, 21,762.54 and 4,645.76 is: 6,968.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,509.13 : 21,762.54 = 4,645.76 : x
  2. Step 2: Convert to fraction form
    14,509.13/21,762.54 = 4,645.76/x
  3. Step 3: Cross multiply
    14,509.13x = 21,762.54 × 4,645.76
  4. Step 4: Simplify right side
    14,509.13x = 101,103,429.02
  5. Step 5: Solve for x
    x = 101,103,429.02/14,509.13
  6. Step 6: Final answer
    x = 6,968.27

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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.