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Finding the Fourth Proportional to 15,852.51, 23,762.16 and 10,309.68

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Solution

The fourth proportional to 15,852.51, 23,762.16 and 10,309.68 is: 15,453.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,852.51 : 23,762.16 = 10,309.68 : x
  2. Step 2: Convert to fraction form
    15,852.51/23,762.16 = 10,309.68/x
  3. Step 3: Cross multiply
    15,852.51x = 23,762.16 × 10,309.68
  4. Step 4: Simplify right side
    15,852.51x = 244,980,265.71
  5. Step 5: Solve for x
    x = 244,980,265.71/15,852.51
  6. Step 6: Final answer
    x = 15,453.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.