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Finding the Fourth Proportional to 19,775.40, 29,666.76 and 6,270

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Solution

The fourth proportional to 19,775.40, 29,666.76 and 6,270 is: 9,406.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,775.40 : 29,666.76 = 6,270 : x
  2. Step 2: Convert to fraction form
    19,775.40/29,666.76 = 6,270/x
  3. Step 3: Cross multiply
    19,775.40x = 29,666.76 × 6,270
  4. Step 4: Simplify right side
    19,775.40x = 186,010,585.20
  5. Step 5: Solve for x
    x = 186,010,585.20/19,775.40
  6. Step 6: Final answer
    x = 9,406.16

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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.