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Finding the Fourth Proportional to 19,356, 29,038.32 and 7,044

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Solution

The fourth proportional to 19,356, 29,038.32 and 7,044 is: 10,567.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,356 : 29,038.32 = 7,044 : x
  2. Step 2: Convert to fraction form
    19,356/29,038.32 = 7,044/x
  3. Step 3: Cross multiply
    19,356x = 29,038.32 × 7,044
  4. Step 4: Simplify right side
    19,356x = 204,545,926.08
  5. Step 5: Solve for x
    x = 204,545,926.08/19,356
  6. Step 6: Final answer
    x = 10,567.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.