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Finding the Fourth Proportional to 23,549.40, 32,526.90 and 17,607.38

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Solution

The fourth proportional to 23,549.40, 32,526.90 and 17,607.38 is: 24,319.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,549.40 : 32,526.90 = 17,607.38 : x
  2. Step 2: Convert to fraction form
    23,549.40/32,526.90 = 17,607.38/x
  3. Step 3: Cross multiply
    23,549.40x = 32,526.90 × 17,607.38
  4. Step 4: Simplify right side
    23,549.40x = 572,713,325.89
  5. Step 5: Solve for x
    x = 572,713,325.89/23,549.40
  6. Step 6: Final answer
    x = 24,319.66

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Why These Related Problems?

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