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Finding the Fourth Proportional to 23,430.57, 32,334.71 and 12,820.20

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Solution

The fourth proportional to 23,430.57, 32,334.71 and 12,820.20 is: 17,692.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,430.57 : 32,334.71 = 12,820.20 : x
  2. Step 2: Convert to fraction form
    23,430.57/32,334.71 = 12,820.20/x
  3. Step 3: Cross multiply
    23,430.57x = 32,334.71 × 12,820.20
  4. Step 4: Simplify right side
    23,430.57x = 414,537,385.04
  5. Step 5: Solve for x
    x = 414,537,385.04/23,430.57
  6. Step 6: Final answer
    x = 17,692.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.