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Finding the Fourth Proportional to 14,574.80, 20,102.57 and 9,530.93

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Solution

The fourth proportional to 14,574.80, 20,102.57 and 9,530.93 is: 13,145.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,574.80 : 20,102.57 = 9,530.93 : x
  2. Step 2: Convert to fraction form
    14,574.80/20,102.57 = 9,530.93/x
  3. Step 3: Cross multiply
    14,574.80x = 20,102.57 × 9,530.93
  4. Step 4: Simplify right side
    14,574.80x = 191,596,187.49
  5. Step 5: Solve for x
    x = 191,596,187.49/14,574.80
  6. Step 6: Final answer
    x = 13,145.72

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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.