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Finding the Fourth Proportional to 13,594.65, 18,760.77 and 7,545

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Solution

The fourth proportional to 13,594.65, 18,760.77 and 7,545 is: 10,412.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,594.65 : 18,760.77 = 7,545 : x
  2. Step 2: Convert to fraction form
    13,594.65/18,760.77 = 7,545/x
  3. Step 3: Cross multiply
    13,594.65x = 18,760.77 × 7,545
  4. Step 4: Simplify right side
    13,594.65x = 141,550,009.65
  5. Step 5: Solve for x
    x = 141,550,009.65/13,594.65
  6. Step 6: Final answer
    x = 10,412.18

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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.