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Finding the Fourth Proportional to 11,038.90, 16,534.05 and 9,807.70

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Solution

The fourth proportional to 11,038.90, 16,534.05 and 9,807.70 is: 14,689.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,038.90 : 16,534.05 = 9,807.70 : x
  2. Step 2: Convert to fraction form
    11,038.90/16,534.05 = 9,807.70/x
  3. Step 3: Cross multiply
    11,038.90x = 16,534.05 × 9,807.70
  4. Step 4: Simplify right side
    11,038.90x = 162,161,002.19
  5. Step 5: Solve for x
    x = 162,161,002.19/11,038.90
  6. Step 6: Final answer
    x = 14,689.96

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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.