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Finding the Fourth Proportional to 13,838.34, 19,097.37 and 7,551.06

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Solution

The fourth proportional to 13,838.34, 19,097.37 and 7,551.06 is: 10,420.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,838.34 : 19,097.37 = 7,551.06 : x
  2. Step 2: Convert to fraction form
    13,838.34/19,097.37 = 7,551.06/x
  3. Step 3: Cross multiply
    13,838.34x = 19,097.37 × 7,551.06
  4. Step 4: Simplify right side
    13,838.34x = 144,205,386.71
  5. Step 5: Solve for x
    x = 144,205,386.71/13,838.34
  6. Step 6: Final answer
    x = 10,420.71

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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.