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Finding the Fourth Proportional to 14,005.63, 21,014.63 and 7,430.21

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Solution

The fourth proportional to 14,005.63, 21,014.63 and 7,430.21 is: 11,148.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,005.63 : 21,014.63 = 7,430.21 : x
  2. Step 2: Convert to fraction form
    14,005.63/21,014.63 = 7,430.21/x
  3. Step 3: Cross multiply
    14,005.63x = 21,014.63 × 7,430.21
  4. Step 4: Simplify right side
    14,005.63x = 156,143,113.97
  5. Step 5: Solve for x
    x = 156,143,113.97/14,005.63
  6. Step 6: Final answer
    x = 11,148.60

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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.