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Finding the Fourth Proportional to 13,838.40, 19,097.04 and 7,550.88

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Solution

The fourth proportional to 13,838.40, 19,097.04 and 7,550.88 is: 10,420.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,838.40 : 19,097.04 = 7,550.88 : x
  2. Step 2: Convert to fraction form
    13,838.40/19,097.04 = 7,550.88/x
  3. Step 3: Cross multiply
    13,838.40x = 19,097.04 × 7,550.88
  4. Step 4: Simplify right side
    13,838.40x = 144,199,457.40
  5. Step 5: Solve for x
    x = 144,199,457.40/13,838.40
  6. Step 6: Final answer
    x = 10,420.24

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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.