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Finding the Fourth Proportional to 15,600.72, 23,386.32 and 5,205

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Solution

The fourth proportional to 15,600.72, 23,386.32 and 5,205 is: 7,802.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,600.72 : 23,386.32 = 5,205 : x
  2. Step 2: Convert to fraction form
    15,600.72/23,386.32 = 5,205/x
  3. Step 3: Cross multiply
    15,600.72x = 23,386.32 × 5,205
  4. Step 4: Simplify right side
    15,600.72x = 121,725,795.60
  5. Step 5: Solve for x
    x = 121,725,795.60/15,600.72
  6. Step 6: Final answer
    x = 7,802.58

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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.