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Finding the Fourth Proportional to 15,804.58, 23,708.08 and 4,710.42

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Solution

The fourth proportional to 15,804.58, 23,708.08 and 4,710.42 is: 7,065.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,804.58 : 23,708.08 = 4,710.42 : x
  2. Step 2: Convert to fraction form
    15,804.58/23,708.08 = 4,710.42/x
  3. Step 3: Cross multiply
    15,804.58x = 23,708.08 × 4,710.42
  4. Step 4: Simplify right side
    15,804.58x = 111,675,014.19
  5. Step 5: Solve for x
    x = 111,675,014.19/15,804.58
  6. Step 6: Final answer
    x = 7,065.99

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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.