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Finding the Fourth Proportional to 23,692.19, 35,538.45 and 16,274.16

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Solution

The fourth proportional to 23,692.19, 35,538.45 and 16,274.16 is: 24,411.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,692.19 : 35,538.45 = 16,274.16 : x
  2. Step 2: Convert to fraction form
    23,692.19/35,538.45 = 16,274.16/x
  3. Step 3: Cross multiply
    23,692.19x = 35,538.45 × 16,274.16
  4. Step 4: Simplify right side
    23,692.19x = 578,358,421.45
  5. Step 5: Solve for x
    x = 578,358,421.45/23,692.19
  6. Step 6: Final answer
    x = 24,411.35

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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.