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Finding the Fourth Proportional to 19,716, 29,574 and 5,124

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Solution

The fourth proportional to 19,716, 29,574 and 5,124 is: 7,686

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,716 : 29,574 = 5,124 : x
  2. Step 2: Convert to fraction form
    19,716/29,574 = 5,124/x
  3. Step 3: Cross multiply
    19,716x = 29,574 × 5,124
  4. Step 4: Simplify right side
    19,716x = 151,537,176
  5. Step 5: Solve for x
    x = 151,537,176/19,716
  6. Step 6: Final answer
    x = 7,686

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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.