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Finding the Fourth Proportional to 19,688.16, 29,525.87 and 6,537

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Solution

The fourth proportional to 19,688.16, 29,525.87 and 6,537 is: 9,803.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,688.16 : 29,525.87 = 6,537 : x
  2. Step 2: Convert to fraction form
    19,688.16/29,525.87 = 6,537/x
  3. Step 3: Cross multiply
    19,688.16x = 29,525.87 × 6,537
  4. Step 4: Simplify right side
    19,688.16x = 193,010,579.51
  5. Step 5: Solve for x
    x = 193,010,579.51/19,688.16
  6. Step 6: Final answer
    x = 9,803.38

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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.