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Finding the Fourth Proportional to 17,432.96, 24,056.90 and 9,475

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Solution

The fourth proportional to 17,432.96, 24,056.90 and 9,475 is: 13,075.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,432.96 : 24,056.90 = 9,475 : x
  2. Step 2: Convert to fraction form
    17,432.96/24,056.90 = 9,475/x
  3. Step 3: Cross multiply
    17,432.96x = 24,056.90 × 9,475
  4. Step 4: Simplify right side
    17,432.96x = 227,939,127.50
  5. Step 5: Solve for x
    x = 227,939,127.50/17,432.96
  6. Step 6: Final answer
    x = 13,075.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.