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Finding the Fourth Proportional to 16,897, 25,345.60 and 4,585

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Solution

The fourth proportional to 16,897, 25,345.60 and 4,585 is: 6,877.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,897 : 25,345.60 = 4,585 : x
  2. Step 2: Convert to fraction form
    16,897/25,345.60 = 4,585/x
  3. Step 3: Cross multiply
    16,897x = 25,345.60 × 4,585
  4. Step 4: Simplify right side
    16,897x = 116,209,576
  5. Step 5: Solve for x
    x = 116,209,576/16,897
  6. Step 6: Final answer
    x = 6,877.53

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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.