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Finding the Fourth Proportional to 25,485.60, 38,206.62 and 9,681.78

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Solution

The fourth proportional to 25,485.60, 38,206.62 and 9,681.78 is: 14,514.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,485.60 : 38,206.62 = 9,681.78 : x
  2. Step 2: Convert to fraction form
    25,485.60/38,206.62 = 9,681.78/x
  3. Step 3: Cross multiply
    25,485.60x = 38,206.62 × 9,681.78
  4. Step 4: Simplify right side
    25,485.60x = 369,908,089.38
  5. Step 5: Solve for x
    x = 369,908,089.38/25,485.60
  6. Step 6: Final answer
    x = 14,514.40

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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.