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Finding the Fourth Proportional to 16,544.16, 24,810.48 and 7,308

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Solution

The fourth proportional to 16,544.16, 24,810.48 and 7,308 is: 10,959.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,544.16 : 24,810.48 = 7,308 : x
  2. Step 2: Convert to fraction form
    16,544.16/24,810.48 = 7,308/x
  3. Step 3: Cross multiply
    16,544.16x = 24,810.48 × 7,308
  4. Step 4: Simplify right side
    16,544.16x = 181,314,987.84
  5. Step 5: Solve for x
    x = 181,314,987.84/16,544.16
  6. Step 6: Final answer
    x = 10,959.46

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Why These Related Problems?

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