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Finding the Fourth Proportional to 15,477.68, 23,199.95 and 7,148.00

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Solution

The fourth proportional to 15,477.68, 23,199.95 and 7,148.00 is: 10,714.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,477.68 : 23,199.95 = 7,148.00 : x
  2. Step 2: Convert to fraction form
    15,477.68/23,199.95 = 7,148.00/x
  3. Step 3: Cross multiply
    15,477.68x = 23,199.95 × 7,148.00
  4. Step 4: Simplify right side
    15,477.68x = 165,833,090.86
  5. Step 5: Solve for x
    x = 165,833,090.86/15,477.68
  6. Step 6: Final answer
    x = 10,714.34

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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.