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Finding the Fourth Proportional to 28,502.63, 42,754.55 and 9,782.58

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Solution

The fourth proportional to 28,502.63, 42,754.55 and 9,782.58 is: 14,674.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,502.63 : 42,754.55 = 9,782.58 : x
  2. Step 2: Convert to fraction form
    28,502.63/42,754.55 = 9,782.58/x
  3. Step 3: Cross multiply
    28,502.63x = 42,754.55 × 9,782.58
  4. Step 4: Simplify right side
    28,502.63x = 418,249,756.83
  5. Step 5: Solve for x
    x = 418,249,756.83/28,502.63
  6. Step 6: Final answer
    x = 14,674.08

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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.