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Finding the Fourth Proportional to 13,430.19, 20,152.53 and 7,894.35

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Solution

The fourth proportional to 13,430.19, 20,152.53 and 7,894.35 is: 11,845.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,430.19 : 20,152.53 = 7,894.35 : x
  2. Step 2: Convert to fraction form
    13,430.19/20,152.53 = 7,894.35/x
  3. Step 3: Cross multiply
    13,430.19x = 20,152.53 × 7,894.35
  4. Step 4: Simplify right side
    13,430.19x = 159,091,125.21
  5. Step 5: Solve for x
    x = 159,091,125.21/13,430.19
  6. Step 6: Final answer
    x = 11,845.78

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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.