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Finding the Fourth Proportional to 25,567.80, 35,282.68 and 14,387.64

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Solution

The fourth proportional to 25,567.80, 35,282.68 and 14,387.64 is: 19,854.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,567.80 : 35,282.68 = 14,387.64 : x
  2. Step 2: Convert to fraction form
    25,567.80/35,282.68 = 14,387.64/x
  3. Step 3: Cross multiply
    25,567.80x = 35,282.68 × 14,387.64
  4. Step 4: Simplify right side
    25,567.80x = 507,634,498.08
  5. Step 5: Solve for x
    x = 507,634,498.08/25,567.80
  6. Step 6: Final answer
    x = 19,854.45

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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.