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Finding the Fourth Proportional to 13,802.94, 19,048.06 and 7,515.31

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Solution

The fourth proportional to 13,802.94, 19,048.06 and 7,515.31 is: 10,371.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.94 : 19,048.06 = 7,515.31 : x
  2. Step 2: Convert to fraction form
    13,802.94/19,048.06 = 7,515.31/x
  3. Step 3: Cross multiply
    13,802.94x = 19,048.06 × 7,515.31
  4. Step 4: Simplify right side
    13,802.94x = 143,152,075.80
  5. Step 5: Solve for x
    x = 143,152,075.80/13,802.94
  6. Step 6: Final answer
    x = 10,371.13

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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.