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Finding the Fourth Proportional to 19,730.60, 29,570.70 and 8,030.60

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Solution

The fourth proportional to 19,730.60, 29,570.70 and 8,030.60 is: 12,035.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,730.60 : 29,570.70 = 8,030.60 : x
  2. Step 2: Convert to fraction form
    19,730.60/29,570.70 = 8,030.60/x
  3. Step 3: Cross multiply
    19,730.60x = 29,570.70 × 8,030.60
  4. Step 4: Simplify right side
    19,730.60x = 237,470,463.42
  5. Step 5: Solve for x
    x = 237,470,463.42/19,730.60
  6. Step 6: Final answer
    x = 12,035.64

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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.