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Finding the Fourth Proportional to 15,430.77, 23,128.74 and 9,591.48

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Solution

The fourth proportional to 15,430.77, 23,128.74 and 9,591.48 is: 14,376.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,430.77 : 23,128.74 = 9,591.48 : x
  2. Step 2: Convert to fraction form
    15,430.77/23,128.74 = 9,591.48/x
  3. Step 3: Cross multiply
    15,430.77x = 23,128.74 × 9,591.48
  4. Step 4: Simplify right side
    15,430.77x = 221,838,847.14
  5. Step 5: Solve for x
    x = 221,838,847.14/15,430.77
  6. Step 6: Final answer
    x = 14,376.40

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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.