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Finding the Fourth Proportional to 14,547.60, 21,780.75 and 7,860.14

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Solution

The fourth proportional to 14,547.60, 21,780.75 and 7,860.14 is: 11,768.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,547.60 : 21,780.75 = 7,860.14 : x
  2. Step 2: Convert to fraction form
    14,547.60/21,780.75 = 7,860.14/x
  3. Step 3: Cross multiply
    14,547.60x = 21,780.75 × 7,860.14
  4. Step 4: Simplify right side
    14,547.60x = 171,199,769.28
  5. Step 5: Solve for x
    x = 171,199,769.28/14,547.60
  6. Step 6: Final answer
    x = 11,768.25

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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.