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Finding the Fourth Proportional to 15,852.71, 23,779.31 and 7,533.59

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Solution

The fourth proportional to 15,852.71, 23,779.31 and 7,533.59 is: 11,300.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,852.71 : 23,779.31 = 7,533.59 : x
  2. Step 2: Convert to fraction form
    15,852.71/23,779.31 = 7,533.59/x
  3. Step 3: Cross multiply
    15,852.71x = 23,779.31 × 7,533.59
  4. Step 4: Simplify right side
    15,852.71x = 179,143,415.46
  5. Step 5: Solve for x
    x = 179,143,415.46/15,852.71
  6. Step 6: Final answer
    x = 11,300.49

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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.