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Finding the Fourth Proportional to 19,357.60, 29,046 and 7,670.56

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Solution

The fourth proportional to 19,357.60, 29,046 and 7,670.56 is: 11,509.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,357.60 : 29,046 = 7,670.56 : x
  2. Step 2: Convert to fraction form
    19,357.60/29,046 = 7,670.56/x
  3. Step 3: Cross multiply
    19,357.60x = 29,046 × 7,670.56
  4. Step 4: Simplify right side
    19,357.60x = 222,799,085.76
  5. Step 5: Solve for x
    x = 222,799,085.76/19,357.60
  6. Step 6: Final answer
    x = 11,509.64

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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.