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Finding the Fourth Proportional to 14,657.18, 21,985.05 and 4,795.16

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Solution

The fourth proportional to 14,657.18, 21,985.05 and 4,795.16 is: 7,192.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,657.18 : 21,985.05 = 4,795.16 : x
  2. Step 2: Convert to fraction form
    14,657.18/21,985.05 = 4,795.16/x
  3. Step 3: Cross multiply
    14,657.18x = 21,985.05 × 4,795.16
  4. Step 4: Simplify right side
    14,657.18x = 105,421,808.38
  5. Step 5: Solve for x
    x = 105,421,808.38/14,657.18
  6. Step 6: Final answer
    x = 7,192.50

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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.