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Finding the Fourth Proportional to 15,435.86, 23,154.81 and 6,075.14

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Solution

The fourth proportional to 15,435.86, 23,154.81 and 6,075.14 is: 9,113.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,435.86 : 23,154.81 = 6,075.14 : x
  2. Step 2: Convert to fraction form
    15,435.86/23,154.81 = 6,075.14/x
  3. Step 3: Cross multiply
    15,435.86x = 23,154.81 × 6,075.14
  4. Step 4: Simplify right side
    15,435.86x = 140,668,712.42
  5. Step 5: Solve for x
    x = 140,668,712.42/15,435.86
  6. Step 6: Final answer
    x = 9,113.11

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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.