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Finding the Fourth Proportional to 35,513.87, 53,256.95 and 13,315.14

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Solution

The fourth proportional to 35,513.87, 53,256.95 and 13,315.14 is: 19,967.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,513.87 : 53,256.95 = 13,315.14 : x
  2. Step 2: Convert to fraction form
    35,513.87/53,256.95 = 13,315.14/x
  3. Step 3: Cross multiply
    35,513.87x = 53,256.95 × 13,315.14
  4. Step 4: Simplify right side
    35,513.87x = 709,123,678.65
  5. Step 5: Solve for x
    x = 709,123,678.65/35,513.87
  6. Step 6: Final answer
    x = 19,967.52

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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.