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Finding the Fourth Proportional to 13,585.77, 20,386.01 and 5,688.98

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Solution

The fourth proportional to 13,585.77, 20,386.01 and 5,688.98 is: 8,536.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,585.77 : 20,386.01 = 5,688.98 : x
  2. Step 2: Convert to fraction form
    13,585.77/20,386.01 = 5,688.98/x
  3. Step 3: Cross multiply
    13,585.77x = 20,386.01 × 5,688.98
  4. Step 4: Simplify right side
    13,585.77x = 115,975,603.17
  5. Step 5: Solve for x
    x = 115,975,603.17/13,585.77
  6. Step 6: Final answer
    x = 8,536.55

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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.