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Finding the Fourth Proportional to 19,108.53, 28,649.71 and 9,730.40

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Solution

The fourth proportional to 19,108.53, 28,649.71 and 9,730.40 is: 14,588.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,108.53 : 28,649.71 = 9,730.40 : x
  2. Step 2: Convert to fraction form
    19,108.53/28,649.71 = 9,730.40/x
  3. Step 3: Cross multiply
    19,108.53x = 28,649.71 × 9,730.40
  4. Step 4: Simplify right side
    19,108.53x = 278,773,007.10
  5. Step 5: Solve for x
    x = 278,773,007.10/19,108.53
  6. Step 6: Final answer
    x = 14,588.93

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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.