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Finding the Fourth Proportional to 14,430.98, 21,627.34 and 7,410.71

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Solution

The fourth proportional to 14,430.98, 21,627.34 and 7,410.71 is: 11,106.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,430.98 : 21,627.34 = 7,410.71 : x
  2. Step 2: Convert to fraction form
    14,430.98/21,627.34 = 7,410.71/x
  3. Step 3: Cross multiply
    14,430.98x = 21,627.34 × 7,410.71
  4. Step 4: Simplify right side
    14,430.98x = 160,273,980.35
  5. Step 5: Solve for x
    x = 160,273,980.35/14,430.98
  6. Step 6: Final answer
    x = 11,106.24

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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.