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Finding the Fourth Proportional to 19,588.13, 29,358.05 and 7,730.00

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Solution

The fourth proportional to 19,588.13, 29,358.05 and 7,730.00 is: 11,585.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,588.13 : 29,358.05 = 7,730.00 : x
  2. Step 2: Convert to fraction form
    19,588.13/29,358.05 = 7,730.00/x
  3. Step 3: Cross multiply
    19,588.13x = 29,358.05 × 7,730.00
  4. Step 4: Simplify right side
    19,588.13x = 226,937,579.71
  5. Step 5: Solve for x
    x = 226,937,579.71/19,588.13
  6. Step 6: Final answer
    x = 11,585.47

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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.