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Finding the Fourth Proportional to 10,011.70, 15,017.55 and 9,585.10

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Solution

The fourth proportional to 10,011.70, 15,017.55 and 9,585.10 is: 14,377.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,011.70 : 15,017.55 = 9,585.10 : x
  2. Step 2: Convert to fraction form
    10,011.70/15,017.55 = 9,585.10/x
  3. Step 3: Cross multiply
    10,011.70x = 15,017.55 × 9,585.10
  4. Step 4: Simplify right side
    10,011.70x = 143,944,718.51
  5. Step 5: Solve for x
    x = 143,944,718.51/10,011.70
  6. Step 6: Final answer
    x = 14,377.65

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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.