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Finding the Fourth Proportional to 14,594, 21,885.33 and 4,730.90

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Solution

The fourth proportional to 14,594, 21,885.33 and 4,730.90 is: 7,094.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,594 : 21,885.33 = 4,730.90 : x
  2. Step 2: Convert to fraction form
    14,594/21,885.33 = 4,730.90/x
  3. Step 3: Cross multiply
    14,594x = 21,885.33 × 4,730.90
  4. Step 4: Simplify right side
    14,594x = 103,537,307.70
  5. Step 5: Solve for x
    x = 103,537,307.70/14,594
  6. Step 6: Final answer
    x = 7,094.51

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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.