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Finding the Fourth Proportional to 13,780.59, 19,017.16 and 7,492.96

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Solution

The fourth proportional to 13,780.59, 19,017.16 and 7,492.96 is: 10,340.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,780.59 : 19,017.16 = 7,492.96 : x
  2. Step 2: Convert to fraction form
    13,780.59/19,017.16 = 7,492.96/x
  3. Step 3: Cross multiply
    13,780.59x = 19,017.16 × 7,492.96
  4. Step 4: Simplify right side
    13,780.59x = 142,494,819.19
  5. Step 5: Solve for x
    x = 142,494,819.19/13,780.59
  6. Step 6: Final answer
    x = 10,340.26

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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.